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Simplifying 8(6 + c) = 7(c + -4) (6 * 8 + c * 8) = 7(c + -4) (48 + 8c) = 7(c + -4) Reorder the terms: 48 + 8c = 7(-4 + c) 48 + 8c = (-4 * 7 + c * 7) 48 + 8c = (-28 + 7c) Solving 48 + 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. 48 + 8c + -7c = -28 + 7c + -7c Combine like terms: 8c + -7c = 1c 48 + 1c = -28 + 7c + -7c Combine like terms: 7c + -7c = 0 48 + 1c = -28 + 0 48 + 1c = -28 Add '-48' to each side of the equation. 48 + -48 + 1c = -28 + -48 Combine like terms: 48 + -48 = 0 0 + 1c = -28 + -48 1c = -28 + -48 Combine like terms: -28 + -48 = -76 1c = -76 Divide each side by '1'. c = -76 Simplifying c = -76
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