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Simplifying 12(c + -12) = 10 + c Reorder the terms: 12(-12 + c) = 10 + c (-12 * 12 + c * 12) = 10 + c (-144 + 12c) = 10 + c Solving -144 + 12c = 10 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -144 + 12c + -1c = 10 + c + -1c Combine like terms: 12c + -1c = 11c -144 + 11c = 10 + c + -1c Combine like terms: c + -1c = 0 -144 + 11c = 10 + 0 -144 + 11c = 10 Add '144' to each side of the equation. -144 + 144 + 11c = 10 + 144 Combine like terms: -144 + 144 = 0 0 + 11c = 10 + 144 11c = 10 + 144 Combine like terms: 10 + 144 = 154 11c = 154 Divide each side by '11'. c = 14 Simplifying c = 14
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