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Simplifying -5 = 3(w + -6) + -8 Reorder the terms: -5 = 3(-6 + w) + -8 -5 = (-6 * 3 + w * 3) + -8 -5 = (-18 + 3w) + -8 Reorder the terms: -5 = -18 + -8 + 3w Combine like terms: -18 + -8 = -26 -5 = -26 + 3w Solving -5 = -26 + 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. -5 + -3w = -26 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -3w = -26 + 0 -5 + -3w = -26 Add '5' to each side of the equation. -5 + 5 + -3w = -26 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = -26 + 5 -3w = -26 + 5 Combine like terms: -26 + 5 = -21 -3w = -21 Divide each side by '-3'. w = 7 Simplifying w = 7
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