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Simplifying 2(w + -3) + -6w = 34 Reorder the terms: 2(-3 + w) + -6w = 34 (-3 * 2 + w * 2) + -6w = 34 (-6 + 2w) + -6w = 34 Combine like terms: 2w + -6w = -4w -6 + -4w = 34 Solving -6 + -4w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4w = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -4w = 34 + 6 -4w = 34 + 6 Combine like terms: 34 + 6 = 40 -4w = 40 Divide each side by '-4'. w = -10 Simplifying w = -10
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