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Simplifying 8(1 + c) = 7(c + -4) (1 * 8 + c * 8) = 7(c + -4) (8 + 8c) = 7(c + -4) Reorder the terms: 8 + 8c = 7(-4 + c) 8 + 8c = (-4 * 7 + c * 7) 8 + 8c = (-28 + 7c) Solving 8 + 8c = -28 + 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. 8 + 8c + -7c = -28 + 7c + -7c Combine like terms: 8c + -7c = 1c 8 + 1c = -28 + 7c + -7c Combine like terms: 7c + -7c = 0 8 + 1c = -28 + 0 8 + 1c = -28 Add '-8' to each side of the equation. 8 + -8 + 1c = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 1c = -28 + -8 1c = -28 + -8 Combine like terms: -28 + -8 = -36 1c = -36 Divide each side by '1'. c = -36 Simplifying c = -36
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