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Simplifying -2(2w + -1) + 9w = 2 + 3(7w + -6) Reorder the terms: -2(-1 + 2w) + 9w = 2 + 3(7w + -6) (-1 * -2 + 2w * -2) + 9w = 2 + 3(7w + -6) (2 + -4w) + 9w = 2 + 3(7w + -6) Combine like terms: -4w + 9w = 5w 2 + 5w = 2 + 3(7w + -6) Reorder the terms: 2 + 5w = 2 + 3(-6 + 7w) 2 + 5w = 2 + (-6 * 3 + 7w * 3) 2 + 5w = 2 + (-18 + 21w) Combine like terms: 2 + -18 = -16 2 + 5w = -16 + 21w Solving 2 + 5w = -16 + 21w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21w' to each side of the equation. 2 + 5w + -21w = -16 + 21w + -21w Combine like terms: 5w + -21w = -16w 2 + -16w = -16 + 21w + -21w Combine like terms: 21w + -21w = 0 2 + -16w = -16 + 0 2 + -16w = -16 Add '-2' to each side of the equation. 2 + -2 + -16w = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -16w = -16 + -2 -16w = -16 + -2 Combine like terms: -16 + -2 = -18 -16w = -18 Divide each side by '-16'. w = 1.125 Simplifying w = 1.125
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