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Simplifying 0.03(4c + -48) = -0.6(c + -6) Reorder the terms: 0.03(-48 + 4c) = -0.6(c + -6) (-48 * 0.03 + 4c * 0.03) = -0.6(c + -6) (-1.44 + 0.12c) = -0.6(c + -6) Reorder the terms: -1.44 + 0.12c = -0.6(-6 + c) -1.44 + 0.12c = (-6 * -0.6 + c * -0.6) -1.44 + 0.12c = (3.6 + -0.6c) Solving -1.44 + 0.12c = 3.6 + -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. -1.44 + 0.12c + 0.6c = 3.6 + -0.6c + 0.6c Combine like terms: 0.12c + 0.6c = 0.72c -1.44 + 0.72c = 3.6 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.44 + 0.72c = 3.6 + 0.0 -1.44 + 0.72c = 3.6 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.72c = 3.6 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.72c = 3.6 + 1.44 0.72c = 3.6 + 1.44 Combine like terms: 3.6 + 1.44 = 5.04 0.72c = 5.04 Divide each side by '0.72'. c = 7 Simplifying c = 7
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