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Simplifying -1(8c + -2) = 3 + 10(1 + -3c) Reorder the terms: -1(-2 + 8c) = 3 + 10(1 + -3c) (-2 * -1 + 8c * -1) = 3 + 10(1 + -3c) (2 + -8c) = 3 + 10(1 + -3c) 2 + -8c = 3 + (1 * 10 + -3c * 10) 2 + -8c = 3 + (10 + -30c) Combine like terms: 3 + 10 = 13 2 + -8c = 13 + -30c Solving 2 + -8c = 13 + -30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '30c' to each side of the equation. 2 + -8c + 30c = 13 + -30c + 30c Combine like terms: -8c + 30c = 22c 2 + 22c = 13 + -30c + 30c Combine like terms: -30c + 30c = 0 2 + 22c = 13 + 0 2 + 22c = 13 Add '-2' to each side of the equation. 2 + -2 + 22c = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 22c = 13 + -2 22c = 13 + -2 Combine like terms: 13 + -2 = 11 22c = 11 Divide each side by '22'. c = 0.5 Simplifying c = 0.5
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