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Simplifying -10 = 4(w + -2) + -6w Reorder the terms: -10 = 4(-2 + w) + -6w -10 = (-2 * 4 + w * 4) + -6w -10 = (-8 + 4w) + -6w Combine like terms: 4w + -6w = -2w -10 = -8 + -2w Solving -10 = -8 + -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. -10 + 2w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 -10 + 2w = -8 + 0 -10 + 2w = -8 Add '10' to each side of the equation. -10 + 10 + 2w = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = -8 + 10 2w = -8 + 10 Combine like terms: -8 + 10 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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