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Simplifying 5(w + -3) + -8w = -30 Reorder the terms: 5(-3 + w) + -8w = -30 (-3 * 5 + w * 5) + -8w = -30 (-15 + 5w) + -8w = -30 Combine like terms: 5w + -8w = -3w -15 + -3w = -30 Solving -15 + -3w = -30 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -3w = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = -30 + 15 -3w = -30 + 15 Combine like terms: -30 + 15 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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