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Simplifying 5(6 + c) = 4(c + -4) (6 * 5 + c * 5) = 4(c + -4) (30 + 5c) = 4(c + -4) Reorder the terms: 30 + 5c = 4(-4 + c) 30 + 5c = (-4 * 4 + c * 4) 30 + 5c = (-16 + 4c) Solving 30 + 5c = -16 + 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. 30 + 5c + -4c = -16 + 4c + -4c Combine like terms: 5c + -4c = 1c 30 + 1c = -16 + 4c + -4c Combine like terms: 4c + -4c = 0 30 + 1c = -16 + 0 30 + 1c = -16 Add '-30' to each side of the equation. 30 + -30 + 1c = -16 + -30 Combine like terms: 30 + -30 = 0 0 + 1c = -16 + -30 1c = -16 + -30 Combine like terms: -16 + -30 = -46 1c = -46 Divide each side by '1'. c = -46 Simplifying c = -46
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