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Simplifying 9w + 14w + 18 = -8(-9w + 20) + -18 Reorder the terms: 18 + 9w + 14w = -8(-9w + 20) + -18 Combine like terms: 9w + 14w = 23w 18 + 23w = -8(-9w + 20) + -18 Reorder the terms: 18 + 23w = -8(20 + -9w) + -18 18 + 23w = (20 * -8 + -9w * -8) + -18 18 + 23w = (-160 + 72w) + -18 Reorder the terms: 18 + 23w = -160 + -18 + 72w Combine like terms: -160 + -18 = -178 18 + 23w = -178 + 72w Solving 18 + 23w = -178 + 72w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72w' to each side of the equation. 18 + 23w + -72w = -178 + 72w + -72w Combine like terms: 23w + -72w = -49w 18 + -49w = -178 + 72w + -72w Combine like terms: 72w + -72w = 0 18 + -49w = -178 + 0 18 + -49w = -178 Add '-18' to each side of the equation. 18 + -18 + -49w = -178 + -18 Combine like terms: 18 + -18 = 0 0 + -49w = -178 + -18 -49w = -178 + -18 Combine like terms: -178 + -18 = -196 -49w = -196 Divide each side by '-49'. w = 4 Simplifying w = 4
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