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Simplifying 6(w + 3) = -7w + -34 Reorder the terms: 6(3 + w) = -7w + -34 (3 * 6 + w * 6) = -7w + -34 (18 + 6w) = -7w + -34 Reorder the terms: 18 + 6w = -34 + -7w Solving 18 + 6w = -34 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 18 + 6w + 7w = -34 + -7w + 7w Combine like terms: 6w + 7w = 13w 18 + 13w = -34 + -7w + 7w Combine like terms: -7w + 7w = 0 18 + 13w = -34 + 0 18 + 13w = -34 Add '-18' to each side of the equation. 18 + -18 + 13w = -34 + -18 Combine like terms: 18 + -18 = 0 0 + 13w = -34 + -18 13w = -34 + -18 Combine like terms: -34 + -18 = -52 13w = -52 Divide each side by '13'. w = -4 Simplifying w = -4
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