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Simplifying 0.02(6c + -60) = -0.6(c + -4) Reorder the terms: 0.02(-60 + 6c) = -0.6(c + -4) (-60 * 0.02 + 6c * 0.02) = -0.6(c + -4) (-1.2 + 0.12c) = -0.6(c + -4) Reorder the terms: -1.2 + 0.12c = -0.6(-4 + c) -1.2 + 0.12c = (-4 * -0.6 + c * -0.6) -1.2 + 0.12c = (2.4 + -0.6c) Solving -1.2 + 0.12c = 2.4 + -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. -1.2 + 0.12c + 0.6c = 2.4 + -0.6c + 0.6c Combine like terms: 0.12c + 0.6c = 0.72c -1.2 + 0.72c = 2.4 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.2 + 0.72c = 2.4 + 0.0 -1.2 + 0.72c = 2.4 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.72c = 2.4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.72c = 2.4 + 1.2 0.72c = 2.4 + 1.2 Combine like terms: 2.4 + 1.2 = 3.6 0.72c = 3.6 Divide each side by '0.72'. c = 5 Simplifying c = 5
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