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Simplifying 6(w + 8) = 78 Reorder the terms: 6(8 + w) = 78 (8 * 6 + w * 6) = 78 (48 + 6w) = 78 Solving 48 + 6w = 78 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6w = 78 + -48 Combine like terms: 48 + -48 = 0 0 + 6w = 78 + -48 6w = 78 + -48 Combine like terms: 78 + -48 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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