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Simplifying -5 = -3w + 5(w + -3) Reorder the terms: -5 = -3w + 5(-3 + w) -5 = -3w + (-3 * 5 + w * 5) -5 = -3w + (-15 + 5w) Reorder the terms: -5 = -15 + -3w + 5w Combine like terms: -3w + 5w = 2w -5 = -15 + 2w Solving -5 = -15 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -5 + -2w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 -5 + -2w = -15 + 0 -5 + -2w = -15 Add '5' to each side of the equation. -5 + 5 + -2w = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = -15 + 5 -2w = -15 + 5 Combine like terms: -15 + 5 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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