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Simplifying 5(2c + -1) + -3 = 8c + 4 Reorder the terms: 5(-1 + 2c) + -3 = 8c + 4 (-1 * 5 + 2c * 5) + -3 = 8c + 4 (-5 + 10c) + -3 = 8c + 4 Reorder the terms: -5 + -3 + 10c = 8c + 4 Combine like terms: -5 + -3 = -8 -8 + 10c = 8c + 4 Reorder the terms: -8 + 10c = 4 + 8c Solving -8 + 10c = 4 + 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. -8 + 10c + -8c = 4 + 8c + -8c Combine like terms: 10c + -8c = 2c -8 + 2c = 4 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + 2c = 4 + 0 -8 + 2c = 4 Add '8' to each side of the equation. -8 + 8 + 2c = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 4 + 8 2c = 4 + 8 Combine like terms: 4 + 8 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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