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Simplifying 5(3w + -2) + -10w = -2(2w + -40) Reorder the terms: 5(-2 + 3w) + -10w = -2(2w + -40) (-2 * 5 + 3w * 5) + -10w = -2(2w + -40) (-10 + 15w) + -10w = -2(2w + -40) Combine like terms: 15w + -10w = 5w -10 + 5w = -2(2w + -40) Reorder the terms: -10 + 5w = -2(-40 + 2w) -10 + 5w = (-40 * -2 + 2w * -2) -10 + 5w = (80 + -4w) Solving -10 + 5w = 80 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -10 + 5w + 4w = 80 + -4w + 4w Combine like terms: 5w + 4w = 9w -10 + 9w = 80 + -4w + 4w Combine like terms: -4w + 4w = 0 -10 + 9w = 80 + 0 -10 + 9w = 80 Add '10' to each side of the equation. -10 + 10 + 9w = 80 + 10 Combine like terms: -10 + 10 = 0 0 + 9w = 80 + 10 9w = 80 + 10 Combine like terms: 80 + 10 = 90 9w = 90 Divide each side by '9'. w = 10 Simplifying w = 10
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