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Simplifying 5(4 + c) = 4(c + -3) (4 * 5 + c * 5) = 4(c + -3) (20 + 5c) = 4(c + -3) Reorder the terms: 20 + 5c = 4(-3 + c) 20 + 5c = (-3 * 4 + c * 4) 20 + 5c = (-12 + 4c) Solving 20 + 5c = -12 + 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. 20 + 5c + -4c = -12 + 4c + -4c Combine like terms: 5c + -4c = 1c 20 + 1c = -12 + 4c + -4c Combine like terms: 4c + -4c = 0 20 + 1c = -12 + 0 20 + 1c = -12 Add '-20' to each side of the equation. 20 + -20 + 1c = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 1c = -12 + -20 1c = -12 + -20 Combine like terms: -12 + -20 = -32 1c = -32 Divide each side by '1'. c = -32 Simplifying c = -32
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