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Simplifying 4(5w + -2) = 2w + 10 Reorder the terms: 4(-2 + 5w) = 2w + 10 (-2 * 4 + 5w * 4) = 2w + 10 (-8 + 20w) = 2w + 10 Reorder the terms: -8 + 20w = 10 + 2w Solving -8 + 20w = 10 + 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. -8 + 20w + -2w = 10 + 2w + -2w Combine like terms: 20w + -2w = 18w -8 + 18w = 10 + 2w + -2w Combine like terms: 2w + -2w = 0 -8 + 18w = 10 + 0 -8 + 18w = 10 Add '8' to each side of the equation. -8 + 8 + 18w = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 18w = 10 + 8 18w = 10 + 8 Combine like terms: 10 + 8 = 18 18w = 18 Divide each side by '18'. w = 1 Simplifying w = 1
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