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Simplifying 4(5 + c) = 3(c + -2) (5 * 4 + c * 4) = 3(c + -2) (20 + 4c) = 3(c + -2) Reorder the terms: 20 + 4c = 3(-2 + c) 20 + 4c = (-2 * 3 + c * 3) 20 + 4c = (-6 + 3c) Solving 20 + 4c = -6 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 20 + 4c + -3c = -6 + 3c + -3c Combine like terms: 4c + -3c = 1c 20 + 1c = -6 + 3c + -3c Combine like terms: 3c + -3c = 0 20 + 1c = -6 + 0 20 + 1c = -6 Add '-20' to each side of the equation. 20 + -20 + 1c = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 1c = -6 + -20 1c = -6 + -20 Combine like terms: -6 + -20 = -26 1c = -26 Divide each side by '1'. c = -26 Simplifying c = -26
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