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Simplifying 5(w + -2) + -8w = -22 Reorder the terms: 5(-2 + w) + -8w = -22 (-2 * 5 + w * 5) + -8w = -22 (-10 + 5w) + -8w = -22 Combine like terms: 5w + -8w = -3w -10 + -3w = -22 Solving -10 + -3w = -22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3w = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -3w = -22 + 10 -3w = -22 + 10 Combine like terms: -22 + 10 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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