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Simplifying 5(3c + -1) + -3 = 13c + 8 Reorder the terms: 5(-1 + 3c) + -3 = 13c + 8 (-1 * 5 + 3c * 5) + -3 = 13c + 8 (-5 + 15c) + -3 = 13c + 8 Reorder the terms: -5 + -3 + 15c = 13c + 8 Combine like terms: -5 + -3 = -8 -8 + 15c = 13c + 8 Reorder the terms: -8 + 15c = 8 + 13c Solving -8 + 15c = 8 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -8 + 15c + -13c = 8 + 13c + -13c Combine like terms: 15c + -13c = 2c -8 + 2c = 8 + 13c + -13c Combine like terms: 13c + -13c = 0 -8 + 2c = 8 + 0 -8 + 2c = 8 Add '8' to each side of the equation. -8 + 8 + 2c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 2c = 8 + 8 2c = 8 + 8 Combine like terms: 8 + 8 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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