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Simplifying -3w + -9 = 3w + w + -5 + 10 Reorder the terms: -9 + -3w = 3w + w + -5 + 10 Reorder the terms: -9 + -3w = -5 + 10 + 3w + w Combine like terms: -5 + 10 = 5 -9 + -3w = 5 + 3w + w Combine like terms: 3w + w = 4w -9 + -3w = 5 + 4w Solving -9 + -3w = 5 + 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. -9 + -3w + -4w = 5 + 4w + -4w Combine like terms: -3w + -4w = -7w -9 + -7w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 -9 + -7w = 5 + 0 -9 + -7w = 5 Add '9' to each side of the equation. -9 + 9 + -7w = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -7w = 5 + 9 -7w = 5 + 9 Combine like terms: 5 + 9 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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