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Simplifying 4(9 + c) = 3(c + -3) (9 * 4 + c * 4) = 3(c + -3) (36 + 4c) = 3(c + -3) Reorder the terms: 36 + 4c = 3(-3 + c) 36 + 4c = (-3 * 3 + c * 3) 36 + 4c = (-9 + 3c) Solving 36 + 4c = -9 + 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. 36 + 4c + -3c = -9 + 3c + -3c Combine like terms: 4c + -3c = 1c 36 + 1c = -9 + 3c + -3c Combine like terms: 3c + -3c = 0 36 + 1c = -9 + 0 36 + 1c = -9 Add '-36' to each side of the equation. 36 + -36 + 1c = -9 + -36 Combine like terms: 36 + -36 = 0 0 + 1c = -9 + -36 1c = -9 + -36 Combine like terms: -9 + -36 = -45 1c = -45 Divide each side by '1'. c = -45 Simplifying c = -45
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