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Solve for cc.\newline4c3c=144c - 3c = 14\newlinec = ____

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Q. Solve for cc.\newline4c3c=144c - 3c = 14\newlinec = ____
  1. Combine Like Terms: Combine like terms on the left side of the equation.\newlineWe have 4c4c and 3c-3c, which are like terms because they both contain the variable cc.\newlineTo combine them, we subtract 3c3c from 4c4c because of the minus sign in front of 3c3c.\newlineThe calculation is 4c3c=c4c - 3c = c.
  2. Rewrite Equation: Rewrite the equation with the combined terms.\newlineAfter combining like terms, the equation becomes c=14c = 14.
  3. Check Balance: Check if the equation is balanced.\newlineTo check if the equation is balanced, we can substitute the value of cc back into the original equation.\newlineSubstituting c=14c = 14 into 4c3c4c - 3c gives us 4(14)3(14)=144(14) - 3(14) = 14.\newlineThis simplifies to 5642=1456 - 42 = 14, which is true since 14=1414 = 14.