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Simplifying -22 = -8w + 6(w + -7) Reorder the terms: -22 = -8w + 6(-7 + w) -22 = -8w + (-7 * 6 + w * 6) -22 = -8w + (-42 + 6w) Reorder the terms: -22 = -42 + -8w + 6w Combine like terms: -8w + 6w = -2w -22 = -42 + -2w Solving -22 = -42 + -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 = -42 + -2w + 2w Combine like terms: -2w + 2w = 0 -22 + 2w = -42 + 0 -22 + 2w = -42 Add '22' to each side of the equation. -22 + 22 + 2w = -42 + 22 Combine like terms: -22 + 22 = 0 0 + 2w = -42 + 22 2w = -42 + 22 Combine like terms: -42 + 22 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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