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Solve for zz.\newline6z−2=6+10z6z - 2 = 6 + 10z\newlinez=z = __

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Full solution

Q. Solve for zz.\newline6z−2=6+10z6z - 2 = 6 + 10z\newlinez=z = __
  1. Move z terms left: First, we want to get all the terms with zz on one side of the equation and the constants on the other side. To do this, we can subtract 10z10z from both sides of the equation to move the zz terms to the left side.\newlineCalculation: 6z−2−10z=6+10z−10z6z - 2 - 10z = 6 + 10z - 10z
  2. Simplify equation: After performing the subtraction, we simplify the equation.\newlineCalculation: −4z−2=6-4z - 2 = 6
  3. Isolate z term: Next, we want to isolate the term with zz by moving the constant term on the left side to the right side. We do this by adding 22 to both sides of the equation.\newlineCalculation: −4z−2+2=6+2-4z - 2 + 2 = 6 + 2
  4. Simplify after adding: Simplifying the equation after adding 22 to both sides gives us:\newlineCalculation: −4z=8-4z = 8
  5. Divide by −4-4: To solve for zz, we need to divide both sides of the equation by −4-4.\newlineCalculation: z=8−4z = \frac{8}{-4}
  6. Find value of z: Finally, we perform the division to find the value of zz.\newlineCalculation: z=−2z = -2

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