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Simplifying 10 = -2w + 8(w + 5) Reorder the terms: 10 = -2w + 8(5 + w) 10 = -2w + (5 * 8 + w * 8) 10 = -2w + (40 + 8w) Reorder the terms: 10 = 40 + -2w + 8w Combine like terms: -2w + 8w = 6w 10 = 40 + 6w Solving 10 = 40 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 10 + -6w = 40 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -6w = 40 + 0 10 + -6w = 40 Add '-10' to each side of the equation. 10 + -10 + -6w = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -6w = 40 + -10 -6w = 40 + -10 Combine like terms: 40 + -10 = 30 -6w = 30 Divide each side by '-6'. w = -5 Simplifying w = -5
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