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Simplifying -6 = 4(w + -4) + -2w Reorder the terms: -6 = 4(-4 + w) + -2w -6 = (-4 * 4 + w * 4) + -2w -6 = (-16 + 4w) + -2w Combine like terms: 4w + -2w = 2w -6 = -16 + 2w Solving -6 = -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. -6 + -2w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -6 + -2w = -16 + 0 -6 + -2w = -16 Add '6' to each side of the equation. -6 + 6 + -2w = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = -16 + 6 -2w = -16 + 6 Combine like terms: -16 + 6 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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