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Simplifying 4(2 + 3c) = -2(2c + -1) + 10 (2 * 4 + 3c * 4) = -2(2c + -1) + 10 (8 + 12c) = -2(2c + -1) + 10 Reorder the terms: 8 + 12c = -2(-1 + 2c) + 10 8 + 12c = (-1 * -2 + 2c * -2) + 10 8 + 12c = (2 + -4c) + 10 Reorder the terms: 8 + 12c = 2 + 10 + -4c Combine like terms: 2 + 10 = 12 8 + 12c = 12 + -4c Solving 8 + 12c = 12 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 8 + 12c + 4c = 12 + -4c + 4c Combine like terms: 12c + 4c = 16c 8 + 16c = 12 + -4c + 4c Combine like terms: -4c + 4c = 0 8 + 16c = 12 + 0 8 + 16c = 12 Add '-8' to each side of the equation. 8 + -8 + 16c = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 16c = 12 + -8 16c = 12 + -8 Combine like terms: 12 + -8 = 4 16c = 4 Divide each side by '16'. c = 0.25 Simplifying c = 0.25
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