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Simplifying 3(4c + -1) + -4 = 7c + 8 Reorder the terms: 3(-1 + 4c) + -4 = 7c + 8 (-1 * 3 + 4c * 3) + -4 = 7c + 8 (-3 + 12c) + -4 = 7c + 8 Reorder the terms: -3 + -4 + 12c = 7c + 8 Combine like terms: -3 + -4 = -7 -7 + 12c = 7c + 8 Reorder the terms: -7 + 12c = 8 + 7c Solving -7 + 12c = 8 + 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. -7 + 12c + -7c = 8 + 7c + -7c Combine like terms: 12c + -7c = 5c -7 + 5c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 -7 + 5c = 8 + 0 -7 + 5c = 8 Add '7' to each side of the equation. -7 + 7 + 5c = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 8 + 7 5c = 8 + 7 Combine like terms: 8 + 7 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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