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Simplifying -6w + -34 = -2(w + -3) Reorder the terms: -34 + -6w = -2(w + -3) Reorder the terms: -34 + -6w = -2(-3 + w) -34 + -6w = (-3 * -2 + w * -2) -34 + -6w = (6 + -2w) Solving -34 + -6w = 6 + -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. -34 + -6w + 2w = 6 + -2w + 2w Combine like terms: -6w + 2w = -4w -34 + -4w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 -34 + -4w = 6 + 0 -34 + -4w = 6 Add '34' to each side of the equation. -34 + 34 + -4w = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -4w = 6 + 34 -4w = 6 + 34 Combine like terms: 6 + 34 = 40 -4w = 40 Divide each side by '-4'. w = -10 Simplifying w = -10
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