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Simplifying 18(9c + -1) + -18 = 160c + 18 Reorder the terms: 18(-1 + 9c) + -18 = 160c + 18 (-1 * 18 + 9c * 18) + -18 = 160c + 18 (-18 + 162c) + -18 = 160c + 18 Reorder the terms: -18 + -18 + 162c = 160c + 18 Combine like terms: -18 + -18 = -36 -36 + 162c = 160c + 18 Reorder the terms: -36 + 162c = 18 + 160c Solving -36 + 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. -36 + 162c + -160c = 18 + 160c + -160c Combine like terms: 162c + -160c = 2c -36 + 2c = 18 + 160c + -160c Combine like terms: 160c + -160c = 0 -36 + 2c = 18 + 0 -36 + 2c = 18 Add '36' to each side of the equation. -36 + 36 + 2c = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 2c = 18 + 36 2c = 18 + 36 Combine like terms: 18 + 36 = 54 2c = 54 Divide each side by '2'. c = 27 Simplifying c = 27
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