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Simplifying -9 = -2w + 5(w + -3) Reorder the terms: -9 = -2w + 5(-3 + w) -9 = -2w + (-3 * 5 + w * 5) -9 = -2w + (-15 + 5w) Reorder the terms: -9 = -15 + -2w + 5w Combine like terms: -2w + 5w = 3w -9 = -15 + 3w Solving -9 = -15 + 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. -9 + -3w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -3w = -15 + 0 -9 + -3w = -15 Add '9' to each side of the equation. -9 + 9 + -3w = -15 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = -15 + 9 -3w = -15 + 9 Combine like terms: -15 + 9 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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