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Simplifying 43 = 16 + -8(5 + -4w) 43 = 16 + (5 * -8 + -4w * -8) 43 = 16 + (-40 + 32w) Combine like terms: 16 + -40 = -24 43 = -24 + 32w Solving 43 = -24 + 32w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32w' to each side of the equation. 43 + -32w = -24 + 32w + -32w Combine like terms: 32w + -32w = 0 43 + -32w = -24 + 0 43 + -32w = -24 Add '-43' to each side of the equation. 43 + -43 + -32w = -24 + -43 Combine like terms: 43 + -43 = 0 0 + -32w = -24 + -43 -32w = -24 + -43 Combine like terms: -24 + -43 = -67 -32w = -67 Divide each side by '-32'. w = 2.09375 Simplifying w = 2.09375
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