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Simplifying -7w + 5(w + -8) = -38 Reorder the terms: -7w + 5(-8 + w) = -38 -7w + (-8 * 5 + w * 5) = -38 -7w + (-40 + 5w) = -38 Reorder the terms: -40 + -7w + 5w = -38 Combine like terms: -7w + 5w = -2w -40 + -2w = -38 Solving -40 + -2w = -38 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 + -2w = -38 + 40 Combine like terms: -40 + 40 = 0 0 + -2w = -38 + 40 -2w = -38 + 40 Combine like terms: -38 + 40 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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