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Simplifying -4(3w + 1) + -1w = 22 Reorder the terms: -4(1 + 3w) + -1w = 22 (1 * -4 + 3w * -4) + -1w = 22 (-4 + -12w) + -1w = 22 Combine like terms: -12w + -1w = -13w -4 + -13w = 22 Solving -4 + -13w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -13w = 22 + 4 Combine like terms: -4 + 4 = 0 0 + -13w = 22 + 4 -13w = 22 + 4 Combine like terms: 22 + 4 = 26 -13w = 26 Divide each side by '-13'. w = -2 Simplifying w = -2
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