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Simplifying 34 + -3(2w + 1) = (8 + w) Reorder the terms: 34 + -3(1 + 2w) = (8 + w) 34 + (1 * -3 + 2w * -3) = (8 + w) 34 + (-3 + -6w) = (8 + w) Combine like terms: 34 + -3 = 31 31 + -6w = (8 + w) Remove parenthesis around (8 + w) 31 + -6w = 8 + w Solving 31 + -6w = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 31 + -6w + -1w = 8 + w + -1w Combine like terms: -6w + -1w = -7w 31 + -7w = 8 + w + -1w Combine like terms: w + -1w = 0 31 + -7w = 8 + 0 31 + -7w = 8 Add '-31' to each side of the equation. 31 + -31 + -7w = 8 + -31 Combine like terms: 31 + -31 = 0 0 + -7w = 8 + -31 -7w = 8 + -31 Combine like terms: 8 + -31 = -23 -7w = -23 Divide each side by '-7'. w = 3.285714286 Simplifying w = 3.285714286
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