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Simplifying 0.03(4c + -68) = -0.6(c + -5) Reorder the terms: 0.03(-68 + 4c) = -0.6(c + -5) (-68 * 0.03 + 4c * 0.03) = -0.6(c + -5) (-2.04 + 0.12c) = -0.6(c + -5) Reorder the terms: -2.04 + 0.12c = -0.6(-5 + c) -2.04 + 0.12c = (-5 * -0.6 + c * -0.6) -2.04 + 0.12c = (3 + -0.6c) Solving -2.04 + 0.12c = 3 + -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. -2.04 + 0.12c + 0.6c = 3 + -0.6c + 0.6c Combine like terms: 0.12c + 0.6c = 0.72c -2.04 + 0.72c = 3 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -2.04 + 0.72c = 3 + 0.0 -2.04 + 0.72c = 3 Add '2.04' to each side of the equation. -2.04 + 2.04 + 0.72c = 3 + 2.04 Combine like terms: -2.04 + 2.04 = 0.00 0.00 + 0.72c = 3 + 2.04 0.72c = 3 + 2.04 Combine like terms: 3 + 2.04 = 5.04 0.72c = 5.04 Divide each side by '0.72'. c = 7 Simplifying c = 7
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