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Simplifying -3x + 6(c + 4) = 9 Reorder the terms: -3x + 6(4 + c) = 9 -3x + (4 * 6 + c * 6) = 9 -3x + (24 + 6c) = 9 Reorder the terms: 24 + 6c + -3x = 9 Solving 24 + 6c + -3x = 9 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6c + -24 + -3x = 9 + -24 Reorder the terms: 24 + -24 + 6c + -3x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 6c + -3x = 9 + -24 6c + -3x = 9 + -24 Combine like terms: 9 + -24 = -15 6c + -3x = -15 Add '3x' to each side of the equation. 6c + -3x + 3x = -15 + 3x Combine like terms: -3x + 3x = 0 6c + 0 = -15 + 3x 6c = -15 + 3x Divide each side by '6'. c = -2.5 + 0.5x Simplifying c = -2.5 + 0.5x
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