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Simplifying 18(9c + -1) + -12 = 160c + 18 Reorder the terms: 18(-1 + 9c) + -12 = 160c + 18 (-1 * 18 + 9c * 18) + -12 = 160c + 18 (-18 + 162c) + -12 = 160c + 18 Reorder the terms: -18 + -12 + 162c = 160c + 18 Combine like terms: -18 + -12 = -30 -30 + 162c = 160c + 18 Reorder the terms: -30 + 162c = 18 + 160c Solving -30 + 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. -30 + 162c + -160c = 18 + 160c + -160c Combine like terms: 162c + -160c = 2c -30 + 2c = 18 + 160c + -160c Combine like terms: 160c + -160c = 0 -30 + 2c = 18 + 0 -30 + 2c = 18 Add '30' to each side of the equation. -30 + 30 + 2c = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 2c = 18 + 30 2c = 18 + 30 Combine like terms: 18 + 30 = 48 2c = 48 Divide each side by '2'. c = 24 Simplifying c = 24
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