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Simplifying 3w + -44 = 5(w + -8) Reorder the terms: -44 + 3w = 5(w + -8) Reorder the terms: -44 + 3w = 5(-8 + w) -44 + 3w = (-8 * 5 + w * 5) -44 + 3w = (-40 + 5w) Solving -44 + 3w = -40 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -44 + 3w + -5w = -40 + 5w + -5w Combine like terms: 3w + -5w = -2w -44 + -2w = -40 + 5w + -5w Combine like terms: 5w + -5w = 0 -44 + -2w = -40 + 0 -44 + -2w = -40 Add '44' to each side of the equation. -44 + 44 + -2w = -40 + 44 Combine like terms: -44 + 44 = 0 0 + -2w = -40 + 44 -2w = -40 + 44 Combine like terms: -40 + 44 = 4 -2w = 4 Divide each side by '-2'. w = -2 Simplifying w = -2
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