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Simplifying 18(9c + -1) + -10 = 160c + 18 Reorder the terms: 18(-1 + 9c) + -10 = 160c + 18 (-1 * 18 + 9c * 18) + -10 = 160c + 18 (-18 + 162c) + -10 = 160c + 18 Reorder the terms: -18 + -10 + 162c = 160c + 18 Combine like terms: -18 + -10 = -28 -28 + 162c = 160c + 18 Reorder the terms: -28 + 162c = 18 + 160c Solving -28 + 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. -28 + 162c + -160c = 18 + 160c + -160c Combine like terms: 162c + -160c = 2c -28 + 2c = 18 + 160c + -160c Combine like terms: 160c + -160c = 0 -28 + 2c = 18 + 0 -28 + 2c = 18 Add '28' to each side of the equation. -28 + 28 + 2c = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 2c = 18 + 28 2c = 18 + 28 Combine like terms: 18 + 28 = 46 2c = 46 Divide each side by '2'. c = 23 Simplifying c = 23
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