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Simplifying 5(15w + 6) + 3w = 4(18w + 12) Reorder the terms: 5(6 + 15w) + 3w = 4(18w + 12) (6 * 5 + 15w * 5) + 3w = 4(18w + 12) (30 + 75w) + 3w = 4(18w + 12) Combine like terms: 75w + 3w = 78w 30 + 78w = 4(18w + 12) Reorder the terms: 30 + 78w = 4(12 + 18w) 30 + 78w = (12 * 4 + 18w * 4) 30 + 78w = (48 + 72w) Solving 30 + 78w = 48 + 72w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-72w' to each side of the equation. 30 + 78w + -72w = 48 + 72w + -72w Combine like terms: 78w + -72w = 6w 30 + 6w = 48 + 72w + -72w Combine like terms: 72w + -72w = 0 30 + 6w = 48 + 0 30 + 6w = 48 Add '-30' to each side of the equation. 30 + -30 + 6w = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 6w = 48 + -30 6w = 48 + -30 Combine like terms: 48 + -30 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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