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Simplifying 3(5c + -1) + -4 = 12c + 2 Reorder the terms: 3(-1 + 5c) + -4 = 12c + 2 (-1 * 3 + 5c * 3) + -4 = 12c + 2 (-3 + 15c) + -4 = 12c + 2 Reorder the terms: -3 + -4 + 15c = 12c + 2 Combine like terms: -3 + -4 = -7 -7 + 15c = 12c + 2 Reorder the terms: -7 + 15c = 2 + 12c Solving -7 + 15c = 2 + 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. -7 + 15c + -12c = 2 + 12c + -12c Combine like terms: 15c + -12c = 3c -7 + 3c = 2 + 12c + -12c Combine like terms: 12c + -12c = 0 -7 + 3c = 2 + 0 -7 + 3c = 2 Add '7' to each side of the equation. -7 + 7 + 3c = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3c = 2 + 7 3c = 2 + 7 Combine like terms: 2 + 7 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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