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Simplifying -4(3w + 2) + -1w = 31 Reorder the terms: -4(2 + 3w) + -1w = 31 (2 * -4 + 3w * -4) + -1w = 31 (-8 + -12w) + -1w = 31 Combine like terms: -12w + -1w = -13w -8 + -13w = 31 Solving -8 + -13w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -13w = 31 + 8 Combine like terms: -8 + 8 = 0 0 + -13w = 31 + 8 -13w = 31 + 8 Combine like terms: 31 + 8 = 39 -13w = 39 Divide each side by '-13'. w = -3 Simplifying w = -3
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