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Simplifying 9(2w + 5) + -2w = 7(8 + -1w) + -10w Reorder the terms: 9(5 + 2w) + -2w = 7(8 + -1w) + -10w (5 * 9 + 2w * 9) + -2w = 7(8 + -1w) + -10w (45 + 18w) + -2w = 7(8 + -1w) + -10w Combine like terms: 18w + -2w = 16w 45 + 16w = 7(8 + -1w) + -10w 45 + 16w = (8 * 7 + -1w * 7) + -10w 45 + 16w = (56 + -7w) + -10w Combine like terms: -7w + -10w = -17w 45 + 16w = 56 + -17w Solving 45 + 16w = 56 + -17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17w' to each side of the equation. 45 + 16w + 17w = 56 + -17w + 17w Combine like terms: 16w + 17w = 33w 45 + 33w = 56 + -17w + 17w Combine like terms: -17w + 17w = 0 45 + 33w = 56 + 0 45 + 33w = 56 Add '-45' to each side of the equation. 45 + -45 + 33w = 56 + -45 Combine like terms: 45 + -45 = 0 0 + 33w = 56 + -45 33w = 56 + -45 Combine like terms: 56 + -45 = 11 33w = 11 Divide each side by '33'. w = 0.3333333333 Simplifying w = 0.3333333333
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