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Simplifying 8w + 16 + -3w = 2(9w + -5) Reorder the terms: 16 + 8w + -3w = 2(9w + -5) Combine like terms: 8w + -3w = 5w 16 + 5w = 2(9w + -5) Reorder the terms: 16 + 5w = 2(-5 + 9w) 16 + 5w = (-5 * 2 + 9w * 2) 16 + 5w = (-10 + 18w) Solving 16 + 5w = -10 + 18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18w' to each side of the equation. 16 + 5w + -18w = -10 + 18w + -18w Combine like terms: 5w + -18w = -13w 16 + -13w = -10 + 18w + -18w Combine like terms: 18w + -18w = 0 16 + -13w = -10 + 0 16 + -13w = -10 Add '-16' to each side of the equation. 16 + -16 + -13w = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -13w = -10 + -16 -13w = -10 + -16 Combine like terms: -10 + -16 = -26 -13w = -26 Divide each side by '-13'. w = 2 Simplifying w = 2
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