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Simplifying 3(5c + -1) + -1 = 12c + 8 Reorder the terms: 3(-1 + 5c) + -1 = 12c + 8 (-1 * 3 + 5c * 3) + -1 = 12c + 8 (-3 + 15c) + -1 = 12c + 8 Reorder the terms: -3 + -1 + 15c = 12c + 8 Combine like terms: -3 + -1 = -4 -4 + 15c = 12c + 8 Reorder the terms: -4 + 15c = 8 + 12c Solving -4 + 15c = 8 + 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. -4 + 15c + -12c = 8 + 12c + -12c Combine like terms: 15c + -12c = 3c -4 + 3c = 8 + 12c + -12c Combine like terms: 12c + -12c = 0 -4 + 3c = 8 + 0 -4 + 3c = 8 Add '4' to each side of the equation. -4 + 4 + 3c = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3c = 8 + 4 3c = 8 + 4 Combine like terms: 8 + 4 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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