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Simplifying 0.03(4c + -32) = -0.6(c + -2) Reorder the terms: 0.03(-32 + 4c) = -0.6(c + -2) (-32 * 0.03 + 4c * 0.03) = -0.6(c + -2) (-0.96 + 0.12c) = -0.6(c + -2) Reorder the terms: -0.96 + 0.12c = -0.6(-2 + c) -0.96 + 0.12c = (-2 * -0.6 + c * -0.6) -0.96 + 0.12c = (1.2 + -0.6c) Solving -0.96 + 0.12c = 1.2 + -0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.6c' to each side of the equation. -0.96 + 0.12c + 0.6c = 1.2 + -0.6c + 0.6c Combine like terms: 0.12c + 0.6c = 0.72c -0.96 + 0.72c = 1.2 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -0.96 + 0.72c = 1.2 + 0.0 -0.96 + 0.72c = 1.2 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.72c = 1.2 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.72c = 1.2 + 0.96 0.72c = 1.2 + 0.96 Combine like terms: 1.2 + 0.96 = 2.16 0.72c = 2.16 Divide each side by '0.72'. c = 3 Simplifying c = 3
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