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Simplifying 3(3c + -1) + -6 = 5c + 7 Reorder the terms: 3(-1 + 3c) + -6 = 5c + 7 (-1 * 3 + 3c * 3) + -6 = 5c + 7 (-3 + 9c) + -6 = 5c + 7 Reorder the terms: -3 + -6 + 9c = 5c + 7 Combine like terms: -3 + -6 = -9 -9 + 9c = 5c + 7 Reorder the terms: -9 + 9c = 7 + 5c Solving -9 + 9c = 7 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -9 + 9c + -5c = 7 + 5c + -5c Combine like terms: 9c + -5c = 4c -9 + 4c = 7 + 5c + -5c Combine like terms: 5c + -5c = 0 -9 + 4c = 7 + 0 -9 + 4c = 7 Add '9' to each side of the equation. -9 + 9 + 4c = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4c = 7 + 9 4c = 7 + 9 Combine like terms: 7 + 9 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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