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Simplifying 8w + -10 = 2(w + 4) Reorder the terms: -10 + 8w = 2(w + 4) Reorder the terms: -10 + 8w = 2(4 + w) -10 + 8w = (4 * 2 + w * 2) -10 + 8w = (8 + 2w) Solving -10 + 8w = 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 + 8w + -2w = 8 + 2w + -2w Combine like terms: 8w + -2w = 6w -10 + 6w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -10 + 6w = 8 + 0 -10 + 6w = 8 Add '10' to each side of the equation. -10 + 10 + 6w = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 6w = 8 + 10 6w = 8 + 10 Combine like terms: 8 + 10 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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