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Simplifying -6(-3w + 5) + -2w = 2(w + -9) + -5 Reorder the terms: -6(5 + -3w) + -2w = 2(w + -9) + -5 (5 * -6 + -3w * -6) + -2w = 2(w + -9) + -5 (-30 + 18w) + -2w = 2(w + -9) + -5 Combine like terms: 18w + -2w = 16w -30 + 16w = 2(w + -9) + -5 Reorder the terms: -30 + 16w = 2(-9 + w) + -5 -30 + 16w = (-9 * 2 + w * 2) + -5 -30 + 16w = (-18 + 2w) + -5 Reorder the terms: -30 + 16w = -18 + -5 + 2w Combine like terms: -18 + -5 = -23 -30 + 16w = -23 + 2w Solving -30 + 16w = -23 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -30 + 16w + -2w = -23 + 2w + -2w Combine like terms: 16w + -2w = 14w -30 + 14w = -23 + 2w + -2w Combine like terms: 2w + -2w = 0 -30 + 14w = -23 + 0 -30 + 14w = -23 Add '30' to each side of the equation. -30 + 30 + 14w = -23 + 30 Combine like terms: -30 + 30 = 0 0 + 14w = -23 + 30 14w = -23 + 30 Combine like terms: -23 + 30 = 7 14w = 7 Divide each side by '14'. w = 0.5 Simplifying w = 0.5
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