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