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Simplifying 6(w + -3) = -2w + -34 Reorder the terms: 6(-3 + w) = -2w + -34 (-3 * 6 + w * 6) = -2w + -34 (-18 + 6w) = -2w + -34 Reorder the terms: -18 + 6w = -34 + -2w Solving -18 + 6w = -34 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -18 + 6w + 2w = -34 + -2w + 2w Combine like terms: 6w + 2w = 8w -18 + 8w = -34 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + 8w = -34 + 0 -18 + 8w = -34 Add '18' to each side of the equation. -18 + 18 + 8w = -34 + 18 Combine like terms: -18 + 18 = 0 0 + 8w = -34 + 18 8w = -34 + 18 Combine like terms: -34 + 18 = -16 8w = -16 Divide each side by '8'. w = -2 Simplifying w = -2
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