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