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Simplifying 3w + 5 = 48 + -40w Reorder the terms: 5 + 3w = 48 + -40w Solving 5 + 3w = 48 + -40w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '40w' to each side of the equation. 5 + 3w + 40w = 48 + -40w + 40w Combine like terms: 3w + 40w = 43w 5 + 43w = 48 + -40w + 40w Combine like terms: -40w + 40w = 0 5 + 43w = 48 + 0 5 + 43w = 48 Add '-5' to each side of the equation. 5 + -5 + 43w = 48 + -5 Combine like terms: 5 + -5 = 0 0 + 43w = 48 + -5 43w = 48 + -5 Combine like terms: 48 + -5 = 43 43w = 43 Divide each side by '43'. w = 1 Simplifying w = 1
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