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Simplifying 6(3w + -8) = 42 Reorder the terms: 6(-8 + 3w) = 42 (-8 * 6 + 3w * 6) = 42 (-48 + 18w) = 42 Solving -48 + 18w = 42 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 + 18w = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 18w = 42 + 48 18w = 42 + 48 Combine like terms: 42 + 48 = 90 18w = 90 Divide each side by '18'. w = 5 Simplifying w = 5
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