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Simplifying 4x + -3(c + -9) = 32 Reorder the terms: 4x + -3(-9 + c) = 32 4x + (-9 * -3 + c * -3) = 32 4x + (27 + -3c) = 32 Reorder the terms: 27 + -3c + 4x = 32 Solving 27 + -3c + 4x = 32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -3c + -27 + 4x = 32 + -27 Reorder the terms: 27 + -27 + -3c + 4x = 32 + -27 Combine like terms: 27 + -27 = 0 0 + -3c + 4x = 32 + -27 -3c + 4x = 32 + -27 Combine like terms: 32 + -27 = 5 -3c + 4x = 5 Add '-4x' to each side of the equation. -3c + 4x + -4x = 5 + -4x Combine like terms: 4x + -4x = 0 -3c + 0 = 5 + -4x -3c = 5 + -4x Divide each side by '-3'. c = -1.666666667 + 1.333333333x Simplifying c = -1.666666667 + 1.333333333x
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