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Simplifying 3(2c + -4) + -5 = 4c + 9 Reorder the terms: 3(-4 + 2c) + -5 = 4c + 9 (-4 * 3 + 2c * 3) + -5 = 4c + 9 (-12 + 6c) + -5 = 4c + 9 Reorder the terms: -12 + -5 + 6c = 4c + 9 Combine like terms: -12 + -5 = -17 -17 + 6c = 4c + 9 Reorder the terms: -17 + 6c = 9 + 4c Solving -17 + 6c = 9 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -17 + 6c + -4c = 9 + 4c + -4c Combine like terms: 6c + -4c = 2c -17 + 2c = 9 + 4c + -4c Combine like terms: 4c + -4c = 0 -17 + 2c = 9 + 0 -17 + 2c = 9 Add '17' to each side of the equation. -17 + 17 + 2c = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 9 + 17 2c = 9 + 17 Combine like terms: 9 + 17 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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