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Simplifying 4(c + -1) + 5(c + -1) = 18 Reorder the terms: 4(-1 + c) + 5(c + -1) = 18 (-1 * 4 + c * 4) + 5(c + -1) = 18 (-4 + 4c) + 5(c + -1) = 18 Reorder the terms: -4 + 4c + 5(-1 + c) = 18 -4 + 4c + (-1 * 5 + c * 5) = 18 -4 + 4c + (-5 + 5c) = 18 Reorder the terms: -4 + -5 + 4c + 5c = 18 Combine like terms: -4 + -5 = -9 -9 + 4c + 5c = 18 Combine like terms: 4c + 5c = 9c -9 + 9c = 18 Solving -9 + 9c = 18 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 9c = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 9c = 18 + 9 9c = 18 + 9 Combine like terms: 18 + 9 = 27 9c = 27 Divide each side by '9'. c = 3 Simplifying c = 3
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