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Simplifying 5(2c + -1) + -2 = 7c + 8 Reorder the terms: 5(-1 + 2c) + -2 = 7c + 8 (-1 * 5 + 2c * 5) + -2 = 7c + 8 (-5 + 10c) + -2 = 7c + 8 Reorder the terms: -5 + -2 + 10c = 7c + 8 Combine like terms: -5 + -2 = -7 -7 + 10c = 7c + 8 Reorder the terms: -7 + 10c = 8 + 7c Solving -7 + 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. -7 + 10c + -7c = 8 + 7c + -7c Combine like terms: 10c + -7c = 3c -7 + 3c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 -7 + 3c = 8 + 0 -7 + 3c = 8 Add '7' to each side of the equation. -7 + 7 + 3c = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3c = 8 + 7 3c = 8 + 7 Combine like terms: 8 + 7 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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