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Simplifying -2(-9w + 9) + -2w = 7(w + -1) + -5 Reorder the terms: -2(9 + -9w) + -2w = 7(w + -1) + -5 (9 * -2 + -9w * -2) + -2w = 7(w + -1) + -5 (-18 + 18w) + -2w = 7(w + -1) + -5 Combine like terms: 18w + -2w = 16w -18 + 16w = 7(w + -1) + -5 Reorder the terms: -18 + 16w = 7(-1 + w) + -5 -18 + 16w = (-1 * 7 + w * 7) + -5 -18 + 16w = (-7 + 7w) + -5 Reorder the terms: -18 + 16w = -7 + -5 + 7w Combine like terms: -7 + -5 = -12 -18 + 16w = -12 + 7w Solving -18 + 16w = -12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -18 + 16w + -7w = -12 + 7w + -7w Combine like terms: 16w + -7w = 9w -18 + 9w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 -18 + 9w = -12 + 0 -18 + 9w = -12 Add '18' to each side of the equation. -18 + 18 + 9w = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 9w = -12 + 18 9w = -12 + 18 Combine like terms: -12 + 18 = 6 9w = 6 Divide each side by '9'. w = 0.6666666667 Simplifying w = 0.6666666667
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