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Simplifying 47 = 47 + -8(5 + -1w) 47 = 47 + (5 * -8 + -1w * -8) 47 = 47 + (-40 + 8w) Combine like terms: 47 + -40 = 7 47 = 7 + 8w Solving 47 = 7 + 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. 47 + -8w = 7 + 8w + -8w Combine like terms: 8w + -8w = 0 47 + -8w = 7 + 0 47 + -8w = 7 Add '-47' to each side of the equation. 47 + -47 + -8w = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -8w = 7 + -47 -8w = 7 + -47 Combine like terms: 7 + -47 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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