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Simplifying 5 + -0.6(c + -4) = 0.9(c + -4) Reorder the terms: 5 + -0.6(-4 + c) = 0.9(c + -4) 5 + (-4 * -0.6 + c * -0.6) = 0.9(c + -4) 5 + (2.4 + -0.6c) = 0.9(c + -4) Combine like terms: 5 + 2.4 = 7.4 7.4 + -0.6c = 0.9(c + -4) Reorder the terms: 7.4 + -0.6c = 0.9(-4 + c) 7.4 + -0.6c = (-4 * 0.9 + c * 0.9) 7.4 + -0.6c = (-3.6 + 0.9c) Solving 7.4 + -0.6c = -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. 7.4 + -0.6c + -0.9c = -3.6 + 0.9c + -0.9c Combine like terms: -0.6c + -0.9c = -1.5c 7.4 + -1.5c = -3.6 + 0.9c + -0.9c Combine like terms: 0.9c + -0.9c = 0.0 7.4 + -1.5c = -3.6 + 0.0 7.4 + -1.5c = -3.6 Add '-7.4' to each side of the equation. 7.4 + -7.4 + -1.5c = -3.6 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + -1.5c = -3.6 + -7.4 -1.5c = -3.6 + -7.4 Combine like terms: -3.6 + -7.4 = -11 -1.5c = -11 Divide each side by '-1.5'. c = 7.333333333 Simplifying c = 7.333333333
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