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Simplifying 3(5c + -1) + -6 = 12c + 9 Reorder the terms: 3(-1 + 5c) + -6 = 12c + 9 (-1 * 3 + 5c * 3) + -6 = 12c + 9 (-3 + 15c) + -6 = 12c + 9 Reorder the terms: -3 + -6 + 15c = 12c + 9 Combine like terms: -3 + -6 = -9 -9 + 15c = 12c + 9 Reorder the terms: -9 + 15c = 9 + 12c Solving -9 + 15c = 9 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -9 + 15c + -12c = 9 + 12c + -12c Combine like terms: 15c + -12c = 3c -9 + 3c = 9 + 12c + -12c Combine like terms: 12c + -12c = 0 -9 + 3c = 9 + 0 -9 + 3c = 9 Add '9' to each side of the equation. -9 + 9 + 3c = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 3c = 9 + 9 3c = 9 + 9 Combine like terms: 9 + 9 = 18 3c = 18 Divide each side by '3'. c = 6 Simplifying c = 6
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