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Simplifying 4(3c + -1) + -1 = 7c + 5 Reorder the terms: 4(-1 + 3c) + -1 = 7c + 5 (-1 * 4 + 3c * 4) + -1 = 7c + 5 (-4 + 12c) + -1 = 7c + 5 Reorder the terms: -4 + -1 + 12c = 7c + 5 Combine like terms: -4 + -1 = -5 -5 + 12c = 7c + 5 Reorder the terms: -5 + 12c = 5 + 7c Solving -5 + 12c = 5 + 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. -5 + 12c + -7c = 5 + 7c + -7c Combine like terms: 12c + -7c = 5c -5 + 5c = 5 + 7c + -7c Combine like terms: 7c + -7c = 0 -5 + 5c = 5 + 0 -5 + 5c = 5 Add '5' to each side of the equation. -5 + 5 + 5c = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5c = 5 + 5 5c = 5 + 5 Combine like terms: 5 + 5 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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