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Simplifying -16 = -8w + 6(w + -4) Reorder the terms: -16 = -8w + 6(-4 + w) -16 = -8w + (-4 * 6 + w * 6) -16 = -8w + (-24 + 6w) Reorder the terms: -16 = -24 + -8w + 6w Combine like terms: -8w + 6w = -2w -16 = -24 + -2w Solving -16 = -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. -16 + 2w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -16 + 2w = -24 + 0 -16 + 2w = -24 Add '16' to each side of the equation. -16 + 16 + 2w = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 2w = -24 + 16 2w = -24 + 16 Combine like terms: -24 + 16 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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