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Simplifying -0.2(3c + 15) = 3(0.8c + -8) Reorder the terms: -0.2(15 + 3c) = 3(0.8c + -8) (15 * -0.2 + 3c * -0.2) = 3(0.8c + -8) (-3 + -0.6c) = 3(0.8c + -8) Reorder the terms: -3 + -0.6c = 3(-8 + 0.8c) -3 + -0.6c = (-8 * 3 + 0.8c * 3) -3 + -0.6c = (-24 + 2.4c) Solving -3 + -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. -3 + -0.6c + -2.4c = -24 + 2.4c + -2.4c Combine like terms: -0.6c + -2.4c = -3c -3 + -3c = -24 + 2.4c + -2.4c Combine like terms: 2.4c + -2.4c = 0.0 -3 + -3c = -24 + 0.0 -3 + -3c = -24 Add '3' to each side of the equation. -3 + 3 + -3c = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -3c = -24 + 3 -3c = -24 + 3 Combine like terms: -24 + 3 = -21 -3c = -21 Divide each side by '-3'. c = 7 Simplifying c = 7
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