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Simplifying 2 = 4(w + -4) + -6w Reorder the terms: 2 = 4(-4 + w) + -6w 2 = (-4 * 4 + w * 4) + -6w 2 = (-16 + 4w) + -6w Combine like terms: 4w + -6w = -2w 2 = -16 + -2w Solving 2 = -16 + -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. 2 + 2w = -16 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 2w = -16 + 0 2 + 2w = -16 Add '-2' to each side of the equation. 2 + -2 + 2w = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -16 + -2 2w = -16 + -2 Combine like terms: -16 + -2 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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