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Simplifying -2w + -22 = -6(w + 7) Reorder the terms: -22 + -2w = -6(w + 7) Reorder the terms: -22 + -2w = -6(7 + w) -22 + -2w = (7 * -6 + w * -6) -22 + -2w = (-42 + -6w) Solving -22 + -2w = -42 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -22 + -2w + 6w = -42 + -6w + 6w Combine like terms: -2w + 6w = 4w -22 + 4w = -42 + -6w + 6w Combine like terms: -6w + 6w = 0 -22 + 4w = -42 + 0 -22 + 4w = -42 Add '22' to each side of the equation. -22 + 22 + 4w = -42 + 22 Combine like terms: -22 + 22 = 0 0 + 4w = -42 + 22 4w = -42 + 22 Combine like terms: -42 + 22 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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