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Simplifying 6(4w + 8) = 28 Reorder the terms: 6(8 + 4w) = 28 (8 * 6 + 4w * 6) = 28 (48 + 24w) = 28 Solving 48 + 24w = 28 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 + 24w = 28 + -48 Combine like terms: 48 + -48 = 0 0 + 24w = 28 + -48 24w = 28 + -48 Combine like terms: 28 + -48 = -20 24w = -20 Divide each side by '24'. w = -0.8333333333 Simplifying w = -0.8333333333
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