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Simplifying 0.03(4c + -64) = -0.6(c + -4) Reorder the terms: 0.03(-64 + 4c) = -0.6(c + -4) (-64 * 0.03 + 4c * 0.03) = -0.6(c + -4) (-1.92 + 0.12c) = -0.6(c + -4) Reorder the terms: -1.92 + 0.12c = -0.6(-4 + c) -1.92 + 0.12c = (-4 * -0.6 + c * -0.6) -1.92 + 0.12c = (2.4 + -0.6c) Solving -1.92 + 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. -1.92 + 0.12c + 0.6c = 2.4 + -0.6c + 0.6c Combine like terms: 0.12c + 0.6c = 0.72c -1.92 + 0.72c = 2.4 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.92 + 0.72c = 2.4 + 0.0 -1.92 + 0.72c = 2.4 Add '1.92' to each side of the equation. -1.92 + 1.92 + 0.72c = 2.4 + 1.92 Combine like terms: -1.92 + 1.92 = 0.00 0.00 + 0.72c = 2.4 + 1.92 0.72c = 2.4 + 1.92 Combine like terms: 2.4 + 1.92 = 4.32 0.72c = 4.32 Divide each side by '0.72'. c = 6 Simplifying c = 6
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