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Simplifying -8(w + -2) = -5w + 22 Reorder the terms: -8(-2 + w) = -5w + 22 (-2 * -8 + w * -8) = -5w + 22 (16 + -8w) = -5w + 22 Reorder the terms: 16 + -8w = 22 + -5w Solving 16 + -8w = 22 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 16 + -8w + 5w = 22 + -5w + 5w Combine like terms: -8w + 5w = -3w 16 + -3w = 22 + -5w + 5w Combine like terms: -5w + 5w = 0 16 + -3w = 22 + 0 16 + -3w = 22 Add '-16' to each side of the equation. 16 + -16 + -3w = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -3w = 22 + -16 -3w = 22 + -16 Combine like terms: 22 + -16 = 6 -3w = 6 Divide each side by '-3'. w = -2 Simplifying w = -2
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