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Simplifying -8w + 5(w + -8) = -19 Reorder the terms: -8w + 5(-8 + w) = -19 -8w + (-8 * 5 + w * 5) = -19 -8w + (-40 + 5w) = -19 Reorder the terms: -40 + -8w + 5w = -19 Combine like terms: -8w + 5w = -3w -40 + -3w = -19 Solving -40 + -3w = -19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -3w = -19 + 40 Combine like terms: -40 + 40 = 0 0 + -3w = -19 + 40 -3w = -19 + 40 Combine like terms: -19 + 40 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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