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Simplifying 2w + -3(w + 2) = 8w + 10 Reorder the terms: 2w + -3(2 + w) = 8w + 10 2w + (2 * -3 + w * -3) = 8w + 10 2w + (-6 + -3w) = 8w + 10 Reorder the terms: -6 + 2w + -3w = 8w + 10 Combine like terms: 2w + -3w = -1w -6 + -1w = 8w + 10 Reorder the terms: -6 + -1w = 10 + 8w Solving -6 + -1w = 10 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -6 + -1w + -8w = 10 + 8w + -8w Combine like terms: -1w + -8w = -9w -6 + -9w = 10 + 8w + -8w Combine like terms: 8w + -8w = 0 -6 + -9w = 10 + 0 -6 + -9w = 10 Add '6' to each side of the equation. -6 + 6 + -9w = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -9w = 10 + 6 -9w = 10 + 6 Combine like terms: 10 + 6 = 16 -9w = 16 Divide each side by '-9'. w = -1.777777778 Simplifying w = -1.777777778
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