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Simplifying 4(5 + c) = 3(c + -6) (5 * 4 + c * 4) = 3(c + -6) (20 + 4c) = 3(c + -6) Reorder the terms: 20 + 4c = 3(-6 + c) 20 + 4c = (-6 * 3 + c * 3) 20 + 4c = (-18 + 3c) Solving 20 + 4c = -18 + 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 = -18 + 3c + -3c Combine like terms: 4c + -3c = 1c 20 + 1c = -18 + 3c + -3c Combine like terms: 3c + -3c = 0 20 + 1c = -18 + 0 20 + 1c = -18 Add '-20' to each side of the equation. 20 + -20 + 1c = -18 + -20 Combine like terms: 20 + -20 = 0 0 + 1c = -18 + -20 1c = -18 + -20 Combine like terms: -18 + -20 = -38 1c = -38 Divide each side by '1'. c = -38 Simplifying c = -38
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