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Simplifying -5(w + 8) + -1(5w + -3) = -11w Reorder the terms: -5(8 + w) + -1(5w + -3) = -11w (8 * -5 + w * -5) + -1(5w + -3) = -11w (-40 + -5w) + -1(5w + -3) = -11w Reorder the terms: -40 + -5w + -1(-3 + 5w) = -11w -40 + -5w + (-3 * -1 + 5w * -1) = -11w -40 + -5w + (3 + -5w) = -11w Reorder the terms: -40 + 3 + -5w + -5w = -11w Combine like terms: -40 + 3 = -37 -37 + -5w + -5w = -11w Combine like terms: -5w + -5w = -10w -37 + -10w = -11w Solving -37 + -10w = -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -37 + -10w + 11w = -11w + 11w Combine like terms: -10w + 11w = 1w -37 + 1w = -11w + 11w Combine like terms: -11w + 11w = 0 -37 + 1w = 0 Add '37' to each side of the equation. -37 + 37 + 1w = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1w = 0 + 37 1w = 0 + 37 Combine like terms: 0 + 37 = 37 1w = 37 Divide each side by '1'. w = 37 Simplifying w = 37
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