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Simplifying 5(3 + c) = 4(c + -12) (3 * 5 + c * 5) = 4(c + -12) (15 + 5c) = 4(c + -12) Reorder the terms: 15 + 5c = 4(-12 + c) 15 + 5c = (-12 * 4 + c * 4) 15 + 5c = (-48 + 4c) Solving 15 + 5c = -48 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 15 + 5c + -4c = -48 + 4c + -4c Combine like terms: 5c + -4c = 1c 15 + 1c = -48 + 4c + -4c Combine like terms: 4c + -4c = 0 15 + 1c = -48 + 0 15 + 1c = -48 Add '-15' to each side of the equation. 15 + -15 + 1c = -48 + -15 Combine like terms: 15 + -15 = 0 0 + 1c = -48 + -15 1c = -48 + -15 Combine like terms: -48 + -15 = -63 1c = -63 Divide each side by '1'. c = -63 Simplifying c = -63
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