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Simplifying 3(2c + -1) + -3 = 3c + 9 Reorder the terms: 3(-1 + 2c) + -3 = 3c + 9 (-1 * 3 + 2c * 3) + -3 = 3c + 9 (-3 + 6c) + -3 = 3c + 9 Reorder the terms: -3 + -3 + 6c = 3c + 9 Combine like terms: -3 + -3 = -6 -6 + 6c = 3c + 9 Reorder the terms: -6 + 6c = 9 + 3c Solving -6 + 6c = 9 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -6 + 6c + -3c = 9 + 3c + -3c Combine like terms: 6c + -3c = 3c -6 + 3c = 9 + 3c + -3c Combine like terms: 3c + -3c = 0 -6 + 3c = 9 + 0 -6 + 3c = 9 Add '6' to each side of the equation. -6 + 6 + 3c = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3c = 9 + 6 3c = 9 + 6 Combine like terms: 9 + 6 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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