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Simplifying 4(5c + -4) + -1 = 12c + 7 Reorder the terms: 4(-4 + 5c) + -1 = 12c + 7 (-4 * 4 + 5c * 4) + -1 = 12c + 7 (-16 + 20c) + -1 = 12c + 7 Reorder the terms: -16 + -1 + 20c = 12c + 7 Combine like terms: -16 + -1 = -17 -17 + 20c = 12c + 7 Reorder the terms: -17 + 20c = 7 + 12c Solving -17 + 20c = 7 + 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. -17 + 20c + -12c = 7 + 12c + -12c Combine like terms: 20c + -12c = 8c -17 + 8c = 7 + 12c + -12c Combine like terms: 12c + -12c = 0 -17 + 8c = 7 + 0 -17 + 8c = 7 Add '17' to each side of the equation. -17 + 17 + 8c = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 8c = 7 + 17 8c = 7 + 17 Combine like terms: 7 + 17 = 24 8c = 24 Divide each side by '8'. c = 3 Simplifying c = 3
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