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