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Simplifying -6(2w + 1) + -1w = 46 Reorder the terms: -6(1 + 2w) + -1w = 46 (1 * -6 + 2w * -6) + -1w = 46 (-6 + -12w) + -1w = 46 Combine like terms: -12w + -1w = -13w -6 + -13w = 46 Solving -6 + -13w = 46 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 + -13w = 46 + 6 Combine like terms: -6 + 6 = 0 0 + -13w = 46 + 6 -13w = 46 + 6 Combine like terms: 46 + 6 = 52 -13w = 52 Divide each side by '-13'. w = -4 Simplifying w = -4
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