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Simplifying 8(2 + c) = 7(c + -2) (2 * 8 + c * 8) = 7(c + -2) (16 + 8c) = 7(c + -2) Reorder the terms: 16 + 8c = 7(-2 + c) 16 + 8c = (-2 * 7 + c * 7) 16 + 8c = (-14 + 7c) Solving 16 + 8c = -14 + 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. 16 + 8c + -7c = -14 + 7c + -7c Combine like terms: 8c + -7c = 1c 16 + 1c = -14 + 7c + -7c Combine like terms: 7c + -7c = 0 16 + 1c = -14 + 0 16 + 1c = -14 Add '-16' to each side of the equation. 16 + -16 + 1c = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 1c = -14 + -16 1c = -14 + -16 Combine like terms: -14 + -16 = -30 1c = -30 Divide each side by '1'. c = -30 Simplifying c = -30
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