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Simplifying 4(5w + 3) + 4w = 7(w + 7) + -3 Reorder the terms: 4(3 + 5w) + 4w = 7(w + 7) + -3 (3 * 4 + 5w * 4) + 4w = 7(w + 7) + -3 (12 + 20w) + 4w = 7(w + 7) + -3 Combine like terms: 20w + 4w = 24w 12 + 24w = 7(w + 7) + -3 Reorder the terms: 12 + 24w = 7(7 + w) + -3 12 + 24w = (7 * 7 + w * 7) + -3 12 + 24w = (49 + 7w) + -3 Reorder the terms: 12 + 24w = 49 + -3 + 7w Combine like terms: 49 + -3 = 46 12 + 24w = 46 + 7w Solving 12 + 24w = 46 + 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. 12 + 24w + -7w = 46 + 7w + -7w Combine like terms: 24w + -7w = 17w 12 + 17w = 46 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + 17w = 46 + 0 12 + 17w = 46 Add '-12' to each side of the equation. 12 + -12 + 17w = 46 + -12 Combine like terms: 12 + -12 = 0 0 + 17w = 46 + -12 17w = 46 + -12 Combine like terms: 46 + -12 = 34 17w = 34 Divide each side by '17'. w = 2 Simplifying w = 2
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