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Simplifying -6(2w + 2) + -1w = 40 Reorder the terms: -6(2 + 2w) + -1w = 40 (2 * -6 + 2w * -6) + -1w = 40 (-12 + -12w) + -1w = 40 Combine like terms: -12w + -1w = -13w -12 + -13w = 40 Solving -12 + -13w = 40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -13w = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -13w = 40 + 12 -13w = 40 + 12 Combine like terms: 40 + 12 = 52 -13w = 52 Divide each side by '-13'. w = -4 Simplifying w = -4
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