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Simplifying 2w + -9 = 3w + 10 Reorder the terms: -9 + 2w = 3w + 10 Reorder the terms: -9 + 2w = 10 + 3w Solving -9 + 2w = 10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + 2w + -3w = 10 + 3w + -3w Combine like terms: 2w + -3w = -1w -9 + -1w = 10 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -1w = 10 + 0 -9 + -1w = 10 Add '9' to each side of the equation. -9 + 9 + -1w = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 10 + 9 -1w = 10 + 9 Combine like terms: 10 + 9 = 19 -1w = 19 Divide each side by '-1'. w = -19 Simplifying w = -19
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