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Simplifying -20 = 8(w + -3) + -6w Reorder the terms: -20 = 8(-3 + w) + -6w -20 = (-3 * 8 + w * 8) + -6w -20 = (-24 + 8w) + -6w Combine like terms: 8w + -6w = 2w -20 = -24 + 2w Solving -20 = -24 + 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. -20 + -2w = -24 + 2w + -2w Combine like terms: 2w + -2w = 0 -20 + -2w = -24 + 0 -20 + -2w = -24 Add '20' to each side of the equation. -20 + 20 + -2w = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -2w = -24 + 20 -2w = -24 + 20 Combine like terms: -24 + 20 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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