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Simplifying 18(9c + -1) + -16c = 160c + 18 Reorder the terms: 18(-1 + 9c) + -16c = 160c + 18 (-1 * 18 + 9c * 18) + -16c = 160c + 18 (-18 + 162c) + -16c = 160c + 18 Combine like terms: 162c + -16c = 146c -18 + 146c = 160c + 18 Reorder the terms: -18 + 146c = 18 + 160c Solving -18 + 146c = 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. -18 + 146c + -160c = 18 + 160c + -160c Combine like terms: 146c + -160c = -14c -18 + -14c = 18 + 160c + -160c Combine like terms: 160c + -160c = 0 -18 + -14c = 18 + 0 -18 + -14c = 18 Add '18' to each side of the equation. -18 + 18 + -14c = 18 + 18 Combine like terms: -18 + 18 = 0 0 + -14c = 18 + 18 -14c = 18 + 18 Combine like terms: 18 + 18 = 36 -14c = 36 Divide each side by '-14'. c = -2.571428571 Simplifying c = -2.571428571
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