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Simplifying 8(w + -5) = 5w + -10 Reorder the terms: 8(-5 + w) = 5w + -10 (-5 * 8 + w * 8) = 5w + -10 (-40 + 8w) = 5w + -10 Reorder the terms: -40 + 8w = -10 + 5w Solving -40 + 8w = -10 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -40 + 8w + -5w = -10 + 5w + -5w Combine like terms: 8w + -5w = 3w -40 + 3w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 -40 + 3w = -10 + 0 -40 + 3w = -10 Add '40' to each side of the equation. -40 + 40 + 3w = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 3w = -10 + 40 3w = -10 + 40 Combine like terms: -10 + 40 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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