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Simplifying -6(3w + 1) + -1w = 70 Reorder the terms: -6(1 + 3w) + -1w = 70 (1 * -6 + 3w * -6) + -1w = 70 (-6 + -18w) + -1w = 70 Combine like terms: -18w + -1w = -19w -6 + -19w = 70 Solving -6 + -19w = 70 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 = 70 + 6 Combine like terms: -6 + 6 = 0 0 + -19w = 70 + 6 -19w = 70 + 6 Combine like terms: 70 + 6 = 76 -19w = 76 Divide each side by '-19'. w = -4 Simplifying w = -4
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