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Simplifying -22 = -3w + 5(w + -6) Reorder the terms: -22 = -3w + 5(-6 + w) -22 = -3w + (-6 * 5 + w * 5) -22 = -3w + (-30 + 5w) Reorder the terms: -22 = -30 + -3w + 5w Combine like terms: -3w + 5w = 2w -22 = -30 + 2w Solving -22 = -30 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -22 + -2w = -30 + 2w + -2w Combine like terms: 2w + -2w = 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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