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Simplifying 4(4c + -1) + -3 = 11c + 3 Reorder the terms: 4(-1 + 4c) + -3 = 11c + 3 (-1 * 4 + 4c * 4) + -3 = 11c + 3 (-4 + 16c) + -3 = 11c + 3 Reorder the terms: -4 + -3 + 16c = 11c + 3 Combine like terms: -4 + -3 = -7 -7 + 16c = 11c + 3 Reorder the terms: -7 + 16c = 3 + 11c Solving -7 + 16c = 3 + 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. -7 + 16c + -11c = 3 + 11c + -11c Combine like terms: 16c + -11c = 5c -7 + 5c = 3 + 11c + -11c Combine like terms: 11c + -11c = 0 -7 + 5c = 3 + 0 -7 + 5c = 3 Add '7' to each side of the equation. -7 + 7 + 5c = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 3 + 7 5c = 3 + 7 Combine like terms: 3 + 7 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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