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Simplifying -6 = -2w + 5(w + -6) Reorder the terms: -6 = -2w + 5(-6 + w) -6 = -2w + (-6 * 5 + w * 5) -6 = -2w + (-30 + 5w) Reorder the terms: -6 = -30 + -2w + 5w Combine like terms: -2w + 5w = 3w -6 = -30 + 3w Solving -6 = -30 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -6 + -3w = -30 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + -3w = -30 + 0 -6 + -3w = -30 Add '6' to each side of the equation. -6 + 6 + -3w = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = -30 + 6 -3w = -30 + 6 Combine like terms: -30 + 6 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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