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Simplifying -8w + 6(w + -5) = -22 Reorder the terms: -8w + 6(-5 + w) = -22 -8w + (-5 * 6 + w * 6) = -22 -8w + (-30 + 6w) = -22 Reorder the terms: -30 + -8w + 6w = -22 Combine like terms: -8w + 6w = -2w -30 + -2w = -22 Solving -30 + -2w = -22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2w = -22 + 30 Combine like terms: -30 + 30 = 0 0 + -2w = -22 + 30 -2w = -22 + 30 Combine like terms: -22 + 30 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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