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Simplifying 4(3w + 5) + -30 = 7w Reorder the terms: 4(5 + 3w) + -30 = 7w (5 * 4 + 3w * 4) + -30 = 7w (20 + 12w) + -30 = 7w Reorder the terms: 20 + -30 + 12w = 7w Combine like terms: 20 + -30 = -10 -10 + 12w = 7w Solving -10 + 12w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -10 + 12w + -7w = 7w + -7w Combine like terms: 12w + -7w = 5w -10 + 5w = 7w + -7w Combine like terms: 7w + -7w = 0 -10 + 5w = 0 Add '10' to each side of the equation. -10 + 10 + 5w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5w = 0 + 10 5w = 0 + 10 Combine like terms: 0 + 10 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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