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Simplifying 2(5c + -1) + -5 = (8c + 5) Reorder the terms: 2(-1 + 5c) + -5 = (8c + 5) (-1 * 2 + 5c * 2) + -5 = (8c + 5) (-2 + 10c) + -5 = (8c + 5) Reorder the terms: -2 + -5 + 10c = (8c + 5) Combine like terms: -2 + -5 = -7 -7 + 10c = (8c + 5) Reorder the terms: -7 + 10c = (5 + 8c) Remove parenthesis around (5 + 8c) -7 + 10c = 5 + 8c Solving -7 + 10c = 5 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -7 + 10c + -8c = 5 + 8c + -8c Combine like terms: 10c + -8c = 2c -7 + 2c = 5 + 8c + -8c Combine like terms: 8c + -8c = 0 -7 + 2c = 5 + 0 -7 + 2c = 5 Add '7' to each side of the equation. -7 + 7 + 2c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 5 + 7 2c = 5 + 7 Combine like terms: 5 + 7 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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