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Simplifying 5(2c + -1) + -2 = 8c + 7 Reorder the terms: 5(-1 + 2c) + -2 = 8c + 7 (-1 * 5 + 2c * 5) + -2 = 8c + 7 (-5 + 10c) + -2 = 8c + 7 Reorder the terms: -5 + -2 + 10c = 8c + 7 Combine like terms: -5 + -2 = -7 -7 + 10c = 8c + 7 Reorder the terms: -7 + 10c = 7 + 8c Solving -7 + 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. -7 + 10c + -8c = 7 + 8c + -8c Combine like terms: 10c + -8c = 2c -7 + 2c = 7 + 8c + -8c Combine like terms: 8c + -8c = 0 -7 + 2c = 7 + 0 -7 + 2c = 7 Add '7' to each side of the equation. -7 + 7 + 2c = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 7 + 7 2c = 7 + 7 Combine like terms: 7 + 7 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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