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Simplifying 4(w + -2) + 2(3w + 1) = 44 Reorder the terms: 4(-2 + w) + 2(3w + 1) = 44 (-2 * 4 + w * 4) + 2(3w + 1) = 44 (-8 + 4w) + 2(3w + 1) = 44 Reorder the terms: -8 + 4w + 2(1 + 3w) = 44 -8 + 4w + (1 * 2 + 3w * 2) = 44 -8 + 4w + (2 + 6w) = 44 Reorder the terms: -8 + 2 + 4w + 6w = 44 Combine like terms: -8 + 2 = -6 -6 + 4w + 6w = 44 Combine like terms: 4w + 6w = 10w -6 + 10w = 44 Solving -6 + 10w = 44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 10w = 44 + 6 Combine like terms: -6 + 6 = 0 0 + 10w = 44 + 6 10w = 44 + 6 Combine like terms: 44 + 6 = 50 10w = 50 Divide each side by '10'. w = 5 Simplifying w = 5
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