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Simplifying -3w + 4(3w + -1) = 16 + -1w Reorder the terms: -3w + 4(-1 + 3w) = 16 + -1w -3w + (-1 * 4 + 3w * 4) = 16 + -1w -3w + (-4 + 12w) = 16 + -1w Reorder the terms: -4 + -3w + 12w = 16 + -1w Combine like terms: -3w + 12w = 9w -4 + 9w = 16 + -1w Solving -4 + 9w = 16 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -4 + 9w + w = 16 + -1w + w Combine like terms: 9w + w = 10w -4 + 10w = 16 + -1w + w Combine like terms: -1w + w = 0 -4 + 10w = 16 + 0 -4 + 10w = 16 Add '4' to each side of the equation. -4 + 4 + 10w = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 10w = 16 + 4 10w = 16 + 4 Combine like terms: 16 + 4 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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