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Simplifying 4(c + -9) = 3(5 + c) Reorder the terms: 4(-9 + c) = 3(5 + c) (-9 * 4 + c * 4) = 3(5 + c) (-36 + 4c) = 3(5 + c) -36 + 4c = (5 * 3 + c * 3) -36 + 4c = (15 + 3c) Solving -36 + 4c = 15 + 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 = 15 + 3c + -3c Combine like terms: 4c + -3c = 1c -36 + 1c = 15 + 3c + -3c Combine like terms: 3c + -3c = 0 -36 + 1c = 15 + 0 -36 + 1c = 15 Add '36' to each side of the equation. -36 + 36 + 1c = 15 + 36 Combine like terms: -36 + 36 = 0 0 + 1c = 15 + 36 1c = 15 + 36 Combine like terms: 15 + 36 = 51 1c = 51 Divide each side by '1'. c = 51 Simplifying c = 51
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