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Simplifying -6w + 36 = (-4)(w + -8) Reorder the terms: 36 + -6w = (-4)(w + -8) Reorder the terms: 36 + -6w = -4(-8 + w) 36 + -6w = (-8 * -4 + w * -4) 36 + -6w = (32 + -4w) Solving 36 + -6w = 32 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 36 + -6w + 4w = 32 + -4w + 4w Combine like terms: -6w + 4w = -2w 36 + -2w = 32 + -4w + 4w Combine like terms: -4w + 4w = 0 36 + -2w = 32 + 0 36 + -2w = 32 Add '-36' to each side of the equation. 36 + -36 + -2w = 32 + -36 Combine like terms: 36 + -36 = 0 0 + -2w = 32 + -36 -2w = 32 + -36 Combine like terms: 32 + -36 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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