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Simplifying 0.5(8 + -2c) = 7c + -12 (8 * 0.5 + -2c * 0.5) = 7c + -12 (4 + -1c) = 7c + -12 Reorder the terms: 4 + -1c = -12 + 7c Solving 4 + -1c = -12 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 4 + -1c + -7c = -12 + 7c + -7c Combine like terms: -1c + -7c = -8c 4 + -8c = -12 + 7c + -7c Combine like terms: 7c + -7c = 0 4 + -8c = -12 + 0 4 + -8c = -12 Add '-4' to each side of the equation. 4 + -4 + -8c = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8c = -12 + -4 -8c = -12 + -4 Combine like terms: -12 + -4 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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