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