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Simplifying 3(4c + -1) + -5 = 7c + 2 Reorder the terms: 3(-1 + 4c) + -5 = 7c + 2 (-1 * 3 + 4c * 3) + -5 = 7c + 2 (-3 + 12c) + -5 = 7c + 2 Reorder the terms: -3 + -5 + 12c = 7c + 2 Combine like terms: -3 + -5 = -8 -8 + 12c = 7c + 2 Reorder the terms: -8 + 12c = 2 + 7c Solving -8 + 12c = 2 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -8 + 12c + -7c = 2 + 7c + -7c Combine like terms: 12c + -7c = 5c -8 + 5c = 2 + 7c + -7c Combine like terms: 7c + -7c = 0 -8 + 5c = 2 + 0 -8 + 5c = 2 Add '8' to each side of the equation. -8 + 8 + 5c = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 5c = 2 + 8 5c = 2 + 8 Combine like terms: 2 + 8 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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