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Simplifying -5(-5w + 6) + -9w = 4w + -7 + -5 Reorder the terms: -5(6 + -5w) + -9w = 4w + -7 + -5 (6 * -5 + -5w * -5) + -9w = 4w + -7 + -5 (-30 + 25w) + -9w = 4w + -7 + -5 Combine like terms: 25w + -9w = 16w -30 + 16w = 4w + -7 + -5 Reorder the terms: -30 + 16w = -7 + -5 + 4w Combine like terms: -7 + -5 = -12 -30 + 16w = -12 + 4w Solving -30 + 16w = -12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -30 + 16w + -4w = -12 + 4w + -4w Combine like terms: 16w + -4w = 12w -30 + 12w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 -30 + 12w = -12 + 0 -30 + 12w = -12 Add '30' to each side of the equation. -30 + 30 + 12w = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 12w = -12 + 30 12w = -12 + 30 Combine like terms: -12 + 30 = 18 12w = 18 Divide each side by '12'. w = 1.5 Simplifying w = 1.5
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