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Simplifying 2(6w + -5) + -4(2w + -7) = 26 Reorder the terms: 2(-5 + 6w) + -4(2w + -7) = 26 (-5 * 2 + 6w * 2) + -4(2w + -7) = 26 (-10 + 12w) + -4(2w + -7) = 26 Reorder the terms: -10 + 12w + -4(-7 + 2w) = 26 -10 + 12w + (-7 * -4 + 2w * -4) = 26 -10 + 12w + (28 + -8w) = 26 Reorder the terms: -10 + 28 + 12w + -8w = 26 Combine like terms: -10 + 28 = 18 18 + 12w + -8w = 26 Combine like terms: 12w + -8w = 4w 18 + 4w = 26 Solving 18 + 4w = 26 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4w = 26 + -18 Combine like terms: 18 + -18 = 0 0 + 4w = 26 + -18 4w = 26 + -18 Combine like terms: 26 + -18 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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