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Simplifying 2w + -22 = -2(w + -7) Reorder the terms: -22 + 2w = -2(w + -7) Reorder the terms: -22 + 2w = -2(-7 + w) -22 + 2w = (-7 * -2 + w * -2) -22 + 2w = (14 + -2w) Solving -22 + 2w = 14 + -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. -22 + 2w + 2w = 14 + -2w + 2w Combine like terms: 2w + 2w = 4w -22 + 4w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 -22 + 4w = 14 + 0 -22 + 4w = 14 Add '22' to each side of the equation. -22 + 22 + 4w = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 4w = 14 + 22 4w = 14 + 22 Combine like terms: 14 + 22 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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