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Simplifying 18(9c + -1) + -2 = 160c + 18 Reorder the terms: 18(-1 + 9c) + -2 = 160c + 18 (-1 * 18 + 9c * 18) + -2 = 160c + 18 (-18 + 162c) + -2 = 160c + 18 Reorder the terms: -18 + -2 + 162c = 160c + 18 Combine like terms: -18 + -2 = -20 -20 + 162c = 160c + 18 Reorder the terms: -20 + 162c = 18 + 160c Solving -20 + 162c = 18 + 160c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-160c' to each side of the equation. -20 + 162c + -160c = 18 + 160c + -160c Combine like terms: 162c + -160c = 2c -20 + 2c = 18 + 160c + -160c Combine like terms: 160c + -160c = 0 -20 + 2c = 18 + 0 -20 + 2c = 18 Add '20' to each side of the equation. -20 + 20 + 2c = 18 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 18 + 20 2c = 18 + 20 Combine like terms: 18 + 20 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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