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Simplifying -3w + -45 = -8(w + 5) Reorder the terms: -45 + -3w = -8(w + 5) Reorder the terms: -45 + -3w = -8(5 + w) -45 + -3w = (5 * -8 + w * -8) -45 + -3w = (-40 + -8w) Solving -45 + -3w = -40 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -45 + -3w + 8w = -40 + -8w + 8w Combine like terms: -3w + 8w = 5w -45 + 5w = -40 + -8w + 8w Combine like terms: -8w + 8w = 0 -45 + 5w = -40 + 0 -45 + 5w = -40 Add '45' to each side of the equation. -45 + 45 + 5w = -40 + 45 Combine like terms: -45 + 45 = 0 0 + 5w = -40 + 45 5w = -40 + 45 Combine like terms: -40 + 45 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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