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Simplifying 4w + 2(w + -3) = 8(w + -5) Reorder the terms: 4w + 2(-3 + w) = 8(w + -5) 4w + (-3 * 2 + w * 2) = 8(w + -5) 4w + (-6 + 2w) = 8(w + -5) Reorder the terms: -6 + 4w + 2w = 8(w + -5) Combine like terms: 4w + 2w = 6w -6 + 6w = 8(w + -5) Reorder the terms: -6 + 6w = 8(-5 + w) -6 + 6w = (-5 * 8 + w * 8) -6 + 6w = (-40 + 8w) Solving -6 + 6w = -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. -6 + 6w + -8w = -40 + 8w + -8w Combine like terms: 6w + -8w = -2w -6 + -2w = -40 + 8w + -8w Combine like terms: 8w + -8w = 0 -6 + -2w = -40 + 0 -6 + -2w = -40 Add '6' to each side of the equation. -6 + 6 + -2w = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -2w = -40 + 6 -2w = -40 + 6 Combine like terms: -40 + 6 = -34 -2w = -34 Divide each side by '-2'. w = 17 Simplifying w = 17
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