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Simplifying 2(w + 9) = -6(3w + -1) + 2w Reorder the terms: 2(9 + w) = -6(3w + -1) + 2w (9 * 2 + w * 2) = -6(3w + -1) + 2w (18 + 2w) = -6(3w + -1) + 2w Reorder the terms: 18 + 2w = -6(-1 + 3w) + 2w 18 + 2w = (-1 * -6 + 3w * -6) + 2w 18 + 2w = (6 + -18w) + 2w Combine like terms: -18w + 2w = -16w 18 + 2w = 6 + -16w Solving 18 + 2w = 6 + -16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16w' to each side of the equation. 18 + 2w + 16w = 6 + -16w + 16w Combine like terms: 2w + 16w = 18w 18 + 18w = 6 + -16w + 16w Combine like terms: -16w + 16w = 0 18 + 18w = 6 + 0 18 + 18w = 6 Add '-18' to each side of the equation. 18 + -18 + 18w = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 18w = 6 + -18 18w = 6 + -18 Combine like terms: 6 + -18 = -12 18w = -12 Divide each side by '18'. w = -0.6666666667 Simplifying w = -0.6666666667
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