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Simplifying -6(3w + 1) + -1w = 51 Reorder the terms: -6(1 + 3w) + -1w = 51 (1 * -6 + 3w * -6) + -1w = 51 (-6 + -18w) + -1w = 51 Combine like terms: -18w + -1w = -19w -6 + -19w = 51 Solving -6 + -19w = 51 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 + -19w = 51 + 6 Combine like terms: -6 + 6 = 0 0 + -19w = 51 + 6 -19w = 51 + 6 Combine like terms: 51 + 6 = 57 -19w = 57 Divide each side by '-19'. w = -3 Simplifying w = -3
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