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