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Simplifying 5(w + -3) + 7w + -1 = 2 Reorder the terms: 5(-3 + w) + 7w + -1 = 2 (-3 * 5 + w * 5) + 7w + -1 = 2 (-15 + 5w) + 7w + -1 = 2 Reorder the terms: -15 + -1 + 5w + 7w = 2 Combine like terms: -15 + -1 = -16 -16 + 5w + 7w = 2 Combine like terms: 5w + 7w = 12w -16 + 12w = 2 Solving -16 + 12w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12w = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 12w = 2 + 16 12w = 2 + 16 Combine like terms: 2 + 16 = 18 12w = 18 Divide each side by '12'. w = 1.5 Simplifying w = 1.5
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