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Simplifying 5(2c + -1) + -3 = 5c + 7 Reorder the terms: 5(-1 + 2c) + -3 = 5c + 7 (-1 * 5 + 2c * 5) + -3 = 5c + 7 (-5 + 10c) + -3 = 5c + 7 Reorder the terms: -5 + -3 + 10c = 5c + 7 Combine like terms: -5 + -3 = -8 -8 + 10c = 5c + 7 Reorder the terms: -8 + 10c = 7 + 5c Solving -8 + 10c = 7 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -8 + 10c + -5c = 7 + 5c + -5c Combine like terms: 10c + -5c = 5c -8 + 5c = 7 + 5c + -5c Combine like terms: 5c + -5c = 0 -8 + 5c = 7 + 0 -8 + 5c = 7 Add '8' to each side of the equation. -8 + 8 + 5c = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5c = 7 + 8 5c = 7 + 8 Combine like terms: 7 + 8 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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