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Simplifying -2(2c + -4) = 0.34(-12c + 24) Reorder the terms: -2(-4 + 2c) = 0.34(-12c + 24) (-4 * -2 + 2c * -2) = 0.34(-12c + 24) (8 + -4c) = 0.34(-12c + 24) Reorder the terms: 8 + -4c = 0.34(24 + -12c) 8 + -4c = (24 * 0.34 + -12c * 0.34) 8 + -4c = (8.16 + -4.08c) Solving 8 + -4c = 8.16 + -4.08c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4.08c' to each side of the equation. 8 + -4c + 4.08c = 8.16 + -4.08c + 4.08c Combine like terms: -4c + 4.08c = 0.08c 8 + 0.08c = 8.16 + -4.08c + 4.08c Combine like terms: -4.08c + 4.08c = 0.00 8 + 0.08c = 8.16 + 0.00 8 + 0.08c = 8.16 Add '-8' to each side of the equation. 8 + -8 + 0.08c = 8.16 + -8 Combine like terms: 8 + -8 = 0 0 + 0.08c = 8.16 + -8 0.08c = 8.16 + -8 Combine like terms: 8.16 + -8 = 0.16 0.08c = 0.16 Divide each side by '0.08'. c = 2 Simplifying c = 2
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