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Simplifying -2(2c + -4) = 0.3(-12c + 24) Reorder the terms: -2(-4 + 2c) = 0.3(-12c + 24) (-4 * -2 + 2c * -2) = 0.3(-12c + 24) (8 + -4c) = 0.3(-12c + 24) Reorder the terms: 8 + -4c = 0.3(24 + -12c) 8 + -4c = (24 * 0.3 + -12c * 0.3) 8 + -4c = (7.2 + -3.6c) Solving 8 + -4c = 7.2 + -3.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3.6c' to each side of the equation. 8 + -4c + 3.6c = 7.2 + -3.6c + 3.6c Combine like terms: -4c + 3.6c = -0.4c 8 + -0.4c = 7.2 + -3.6c + 3.6c Combine like terms: -3.6c + 3.6c = 0.0 8 + -0.4c = 7.2 + 0.0 8 + -0.4c = 7.2 Add '-8' to each side of the equation. 8 + -8 + -0.4c = 7.2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.4c = 7.2 + -8 -0.4c = 7.2 + -8 Combine like terms: 7.2 + -8 = -0.8 -0.4c = -0.8 Divide each side by '-0.4'. c = 2 Simplifying c = 2
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