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Simplifying 6 + -8(5 + -1w) = 2(3w + -11) 6 + (5 * -8 + -1w * -8) = 2(3w + -11) 6 + (-40 + 8w) = 2(3w + -11) Combine like terms: 6 + -40 = -34 -34 + 8w = 2(3w + -11) Reorder the terms: -34 + 8w = 2(-11 + 3w) -34 + 8w = (-11 * 2 + 3w * 2) -34 + 8w = (-22 + 6w) Solving -34 + 8w = -22 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -34 + 8w + -6w = -22 + 6w + -6w Combine like terms: 8w + -6w = 2w -34 + 2w = -22 + 6w + -6w Combine like terms: 6w + -6w = 0 -34 + 2w = -22 + 0 -34 + 2w = -22 Add '34' to each side of the equation. -34 + 34 + 2w = -22 + 34 Combine like terms: -34 + 34 = 0 0 + 2w = -22 + 34 2w = -22 + 34 Combine like terms: -22 + 34 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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