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Simplifying 5(w + -8) = 3w + -48 Reorder the terms: 5(-8 + w) = 3w + -48 (-8 * 5 + w * 5) = 3w + -48 (-40 + 5w) = 3w + -48 Reorder the terms: -40 + 5w = -48 + 3w Solving -40 + 5w = -48 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -40 + 5w + -3w = -48 + 3w + -3w Combine like terms: 5w + -3w = 2w -40 + 2w = -48 + 3w + -3w Combine like terms: 3w + -3w = 0 -40 + 2w = -48 + 0 -40 + 2w = -48 Add '40' to each side of the equation. -40 + 40 + 2w = -48 + 40 Combine like terms: -40 + 40 = 0 0 + 2w = -48 + 40 2w = -48 + 40 Combine like terms: -48 + 40 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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