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Simplifying -12 = 8(w + -4) + -6w Reorder the terms: -12 = 8(-4 + w) + -6w -12 = (-4 * 8 + w * 8) + -6w -12 = (-32 + 8w) + -6w Combine like terms: 8w + -6w = 2w -12 = -32 + 2w Solving -12 = -32 + 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. -12 + -2w = -32 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -2w = -32 + 0 -12 + -2w = -32 Add '12' to each side of the equation. -12 + 12 + -2w = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = -32 + 12 -2w = -32 + 12 Combine like terms: -32 + 12 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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