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Simplifying 5(1 + c) = 4(c + -4) (1 * 5 + c * 5) = 4(c + -4) (5 + 5c) = 4(c + -4) Reorder the terms: 5 + 5c = 4(-4 + c) 5 + 5c = (-4 * 4 + c * 4) 5 + 5c = (-16 + 4c) Solving 5 + 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. 5 + 5c + -4c = -16 + 4c + -4c Combine like terms: 5c + -4c = 1c 5 + 1c = -16 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + 1c = -16 + 0 5 + 1c = -16 Add '-5' to each side of the equation. 5 + -5 + 1c = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 1c = -16 + -5 1c = -16 + -5 Combine like terms: -16 + -5 = -21 1c = -21 Divide each side by '1'. c = -21 Simplifying c = -21
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