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Simplifying 5c + -9 = 2(4c + 3) Reorder the terms: -9 + 5c = 2(4c + 3) Reorder the terms: -9 + 5c = 2(3 + 4c) -9 + 5c = (3 * 2 + 4c * 2) -9 + 5c = (6 + 8c) Solving -9 + 5c = 6 + 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. -9 + 5c + -8c = 6 + 8c + -8c Combine like terms: 5c + -8c = -3c -9 + -3c = 6 + 8c + -8c Combine like terms: 8c + -8c = 0 -9 + -3c = 6 + 0 -9 + -3c = 6 Add '9' to each side of the equation. -9 + 9 + -3c = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -3c = 6 + 9 -3c = 6 + 9 Combine like terms: 6 + 9 = 15 -3c = 15 Divide each side by '-3'. c = -5 Simplifying c = -5
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