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Simplifying 4(4c + -1) + -5 = 11c + 6 Reorder the terms: 4(-1 + 4c) + -5 = 11c + 6 (-1 * 4 + 4c * 4) + -5 = 11c + 6 (-4 + 16c) + -5 = 11c + 6 Reorder the terms: -4 + -5 + 16c = 11c + 6 Combine like terms: -4 + -5 = -9 -9 + 16c = 11c + 6 Reorder the terms: -9 + 16c = 6 + 11c Solving -9 + 16c = 6 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -9 + 16c + -11c = 6 + 11c + -11c Combine like terms: 16c + -11c = 5c -9 + 5c = 6 + 11c + -11c Combine like terms: 11c + -11c = 0 -9 + 5c = 6 + 0 -9 + 5c = 6 Add '9' to each side of the equation. -9 + 9 + 5c = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5c = 6 + 9 5c = 6 + 9 Combine like terms: 6 + 9 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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