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Simplifying 4(4 + c) = 3(c + -6) (4 * 4 + c * 4) = 3(c + -6) (16 + 4c) = 3(c + -6) Reorder the terms: 16 + 4c = 3(-6 + c) 16 + 4c = (-6 * 3 + c * 3) 16 + 4c = (-18 + 3c) Solving 16 + 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. 16 + 4c + -3c = -18 + 3c + -3c Combine like terms: 4c + -3c = 1c 16 + 1c = -18 + 3c + -3c Combine like terms: 3c + -3c = 0 16 + 1c = -18 + 0 16 + 1c = -18 Add '-16' to each side of the equation. 16 + -16 + 1c = -18 + -16 Combine like terms: 16 + -16 = 0 0 + 1c = -18 + -16 1c = -18 + -16 Combine like terms: -18 + -16 = -34 1c = -34 Divide each side by '1'. c = -34 Simplifying c = -34
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