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Simplifying 2(5c + -1) + -2 = 7c + 8 Reorder the terms: 2(-1 + 5c) + -2 = 7c + 8 (-1 * 2 + 5c * 2) + -2 = 7c + 8 (-2 + 10c) + -2 = 7c + 8 Reorder the terms: -2 + -2 + 10c = 7c + 8 Combine like terms: -2 + -2 = -4 -4 + 10c = 7c + 8 Reorder the terms: -4 + 10c = 8 + 7c Solving -4 + 10c = 8 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -4 + 10c + -7c = 8 + 7c + -7c Combine like terms: 10c + -7c = 3c -4 + 3c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 -4 + 3c = 8 + 0 -4 + 3c = 8 Add '4' to each side of the equation. -4 + 4 + 3c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3c = 8 + 4 3c = 8 + 4 Combine like terms: 8 + 4 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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