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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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