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Simplifying 6(c + -4) = 3(c + 9) Reorder the terms: 6(-4 + c) = 3(c + 9) (-4 * 6 + c * 6) = 3(c + 9) (-24 + 6c) = 3(c + 9) Reorder the terms: -24 + 6c = 3(9 + c) -24 + 6c = (9 * 3 + c * 3) -24 + 6c = (27 + 3c) Solving -24 + 6c = 27 + 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. -24 + 6c + -3c = 27 + 3c + -3c Combine like terms: 6c + -3c = 3c -24 + 3c = 27 + 3c + -3c Combine like terms: 3c + -3c = 0 -24 + 3c = 27 + 0 -24 + 3c = 27 Add '24' to each side of the equation. -24 + 24 + 3c = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 3c = 27 + 24 3c = 27 + 24 Combine like terms: 27 + 24 = 51 3c = 51 Divide each side by '3'. c = 17 Simplifying c = 17
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