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Simplifying 0.6(6c + -18) + 0.75(8c + 32) = -18 Reorder the terms: 0.6(-18 + 6c) + 0.75(8c + 32) = -18 (-18 * 0.6 + 6c * 0.6) + 0.75(8c + 32) = -18 (-10.8 + 3.6c) + 0.75(8c + 32) = -18 Reorder the terms: -10.8 + 3.6c + 0.75(32 + 8c) = -18 -10.8 + 3.6c + (32 * 0.75 + 8c * 0.75) = -18 -10.8 + 3.6c + (24 + 6c) = -18 Reorder the terms: -10.8 + 24 + 3.6c + 6c = -18 Combine like terms: -10.8 + 24 = 13.2 13.2 + 3.6c + 6c = -18 Combine like terms: 3.6c + 6c = 9.6c 13.2 + 9.6c = -18 Solving 13.2 + 9.6c = -18 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13.2' to each side of the equation. 13.2 + -13.2 + 9.6c = -18 + -13.2 Combine like terms: 13.2 + -13.2 = 0.0 0.0 + 9.6c = -18 + -13.2 9.6c = -18 + -13.2 Combine like terms: -18 + -13.2 = -31.2 9.6c = -31.2 Divide each side by '9.6'. c = -3.25 Simplifying c = -3.25
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