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Simplifying -12 + 4c = 6c + -1(8 + c) -12 + 4c = 6c + (8 * -1 + c * -1) -12 + 4c = 6c + (-8 + -1c) Reorder the terms: -12 + 4c = -8 + 6c + -1c Combine like terms: 6c + -1c = 5c -12 + 4c = -8 + 5c Solving -12 + 4c = -8 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -12 + 4c + -5c = -8 + 5c + -5c Combine like terms: 4c + -5c = -1c -12 + -1c = -8 + 5c + -5c Combine like terms: 5c + -5c = 0 -12 + -1c = -8 + 0 -12 + -1c = -8 Add '12' to each side of the equation. -12 + 12 + -1c = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -1c = -8 + 12 -1c = -8 + 12 Combine like terms: -8 + 12 = 4 -1c = 4 Divide each side by '-1'. c = -4 Simplifying c = -4
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