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Simplifying 2(5c + -1) + -3 = 8c + 7 Reorder the terms: 2(-1 + 5c) + -3 = 8c + 7 (-1 * 2 + 5c * 2) + -3 = 8c + 7 (-2 + 10c) + -3 = 8c + 7 Reorder the terms: -2 + -3 + 10c = 8c + 7 Combine like terms: -2 + -3 = -5 -5 + 10c = 8c + 7 Reorder the terms: -5 + 10c = 7 + 8c Solving -5 + 10c = 7 + 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. -5 + 10c + -8c = 7 + 8c + -8c Combine like terms: 10c + -8c = 2c -5 + 2c = 7 + 8c + -8c Combine like terms: 8c + -8c = 0 -5 + 2c = 7 + 0 -5 + 2c = 7 Add '5' to each side of the equation. -5 + 5 + 2c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 7 + 5 2c = 7 + 5 Combine like terms: 7 + 5 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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