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Simplifying 0.03(6c + -60) = 0.9(c + -4) Reorder the terms: 0.03(-60 + 6c) = 0.9(c + -4) (-60 * 0.03 + 6c * 0.03) = 0.9(c + -4) (-1.8 + 0.18c) = 0.9(c + -4) Reorder the terms: -1.8 + 0.18c = 0.9(-4 + c) -1.8 + 0.18c = (-4 * 0.9 + c * 0.9) -1.8 + 0.18c = (-3.6 + 0.9c) Solving -1.8 + 0.18c = -3.6 + 0.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.9c' to each side of the equation. -1.8 + 0.18c + -0.9c = -3.6 + 0.9c + -0.9c Combine like terms: 0.18c + -0.9c = -0.72c -1.8 + -0.72c = -3.6 + 0.9c + -0.9c Combine like terms: 0.9c + -0.9c = 0.0 -1.8 + -0.72c = -3.6 + 0.0 -1.8 + -0.72c = -3.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + -0.72c = -3.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -0.72c = -3.6 + 1.8 -0.72c = -3.6 + 1.8 Combine like terms: -3.6 + 1.8 = -1.8 -0.72c = -1.8 Divide each side by '-0.72'. c = 2.5 Simplifying c = 2.5
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