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Simplifying 11(5c + -1) + -18 = 53c + 11 Reorder the terms: 11(-1 + 5c) + -18 = 53c + 11 (-1 * 11 + 5c * 11) + -18 = 53c + 11 (-11 + 55c) + -18 = 53c + 11 Reorder the terms: -11 + -18 + 55c = 53c + 11 Combine like terms: -11 + -18 = -29 -29 + 55c = 53c + 11 Reorder the terms: -29 + 55c = 11 + 53c Solving -29 + 55c = 11 + 53c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-53c' to each side of the equation. -29 + 55c + -53c = 11 + 53c + -53c Combine like terms: 55c + -53c = 2c -29 + 2c = 11 + 53c + -53c Combine like terms: 53c + -53c = 0 -29 + 2c = 11 + 0 -29 + 2c = 11 Add '29' to each side of the equation. -29 + 29 + 2c = 11 + 29 Combine like terms: -29 + 29 = 0 0 + 2c = 11 + 29 2c = 11 + 29 Combine like terms: 11 + 29 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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