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Simplifying -8(w + -3) = -6w + 32 Reorder the terms: -8(-3 + w) = -6w + 32 (-3 * -8 + w * -8) = -6w + 32 (24 + -8w) = -6w + 32 Reorder the terms: 24 + -8w = 32 + -6w Solving 24 + -8w = 32 + -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. 24 + -8w + 6w = 32 + -6w + 6w Combine like terms: -8w + 6w = -2w 24 + -2w = 32 + -6w + 6w Combine like terms: -6w + 6w = 0 24 + -2w = 32 + 0 24 + -2w = 32 Add '-24' to each side of the equation. 24 + -24 + -2w = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -2w = 32 + -24 -2w = 32 + -24 Combine like terms: 32 + -24 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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