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Simplifying -32 = 6(w + -8) + -4w Reorder the terms: -32 = 6(-8 + w) + -4w -32 = (-8 * 6 + w * 6) + -4w -32 = (-48 + 6w) + -4w Combine like terms: 6w + -4w = 2w -32 = -48 + 2w Solving -32 = -48 + 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. -32 + -2w = -48 + 2w + -2w Combine like terms: 2w + -2w = 0 -32 + -2w = -48 + 0 -32 + -2w = -48 Add '32' to each side of the equation. -32 + 32 + -2w = -48 + 32 Combine like terms: -32 + 32 = 0 0 + -2w = -48 + 32 -2w = -48 + 32 Combine like terms: -48 + 32 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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