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Simplifying 39 + -0.2(3c + 15) = 3(0.8c + -8) Reorder the terms: 39 + -0.2(15 + 3c) = 3(0.8c + -8) 39 + (15 * -0.2 + 3c * -0.2) = 3(0.8c + -8) 39 + (-3 + -0.6c) = 3(0.8c + -8) Combine like terms: 39 + -3 = 36 36 + -0.6c = 3(0.8c + -8) Reorder the terms: 36 + -0.6c = 3(-8 + 0.8c) 36 + -0.6c = (-8 * 3 + 0.8c * 3) 36 + -0.6c = (-24 + 2.4c) Solving 36 + -0.6c = -24 + 2.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.4c' to each side of the equation. 36 + -0.6c + -2.4c = -24 + 2.4c + -2.4c Combine like terms: -0.6c + -2.4c = -3c 36 + -3c = -24 + 2.4c + -2.4c Combine like terms: 2.4c + -2.4c = 0.0 36 + -3c = -24 + 0.0 36 + -3c = -24 Add '-36' to each side of the equation. 36 + -36 + -3c = -24 + -36 Combine like terms: 36 + -36 = 0 0 + -3c = -24 + -36 -3c = -24 + -36 Combine like terms: -24 + -36 = -60 -3c = -60 Divide each side by '-3'. c = 20 Simplifying c = 20
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