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Simplifying 6(w + -1) = -4w + 34 Reorder the terms: 6(-1 + w) = -4w + 34 (-1 * 6 + w * 6) = -4w + 34 (-6 + 6w) = -4w + 34 Reorder the terms: -6 + 6w = 34 + -4w Solving -6 + 6w = 34 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -6 + 6w + 4w = 34 + -4w + 4w Combine like terms: 6w + 4w = 10w -6 + 10w = 34 + -4w + 4w Combine like terms: -4w + 4w = 0 -6 + 10w = 34 + 0 -6 + 10w = 34 Add '6' to each side of the equation. -6 + 6 + 10w = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 10w = 34 + 6 10w = 34 + 6 Combine like terms: 34 + 6 = 40 10w = 40 Divide each side by '10'. w = 4 Simplifying w = 4
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