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Simplifying 1w + 8 = 3w + -2 Reorder the terms: 8 + 1w = 3w + -2 Reorder the terms: 8 + 1w = -2 + 3w Solving 8 + 1w = -2 + 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. 8 + 1w + -3w = -2 + 3w + -3w Combine like terms: 1w + -3w = -2w 8 + -2w = -2 + 3w + -3w Combine like terms: 3w + -3w = 0 8 + -2w = -2 + 0 8 + -2w = -2 Add '-8' to each side of the equation. 8 + -8 + -2w = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -2 + -8 -2w = -2 + -8 Combine like terms: -2 + -8 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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