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Simplifying 2(-4c + 1) = 7(-6c + 6) + 14c Reorder the terms: 2(1 + -4c) = 7(-6c + 6) + 14c (1 * 2 + -4c * 2) = 7(-6c + 6) + 14c (2 + -8c) = 7(-6c + 6) + 14c Reorder the terms: 2 + -8c = 7(6 + -6c) + 14c 2 + -8c = (6 * 7 + -6c * 7) + 14c 2 + -8c = (42 + -42c) + 14c Combine like terms: -42c + 14c = -28c 2 + -8c = 42 + -28c Solving 2 + -8c = 42 + -28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '28c' to each side of the equation. 2 + -8c + 28c = 42 + -28c + 28c Combine like terms: -8c + 28c = 20c 2 + 20c = 42 + -28c + 28c Combine like terms: -28c + 28c = 0 2 + 20c = 42 + 0 2 + 20c = 42 Add '-2' to each side of the equation. 2 + -2 + 20c = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 20c = 42 + -2 20c = 42 + -2 Combine like terms: 42 + -2 = 40 20c = 40 Divide each side by '20'. c = 2 Simplifying c = 2
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