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Simplifying 24w + -8 = 7 + -8w Reorder the terms: -8 + 24w = 7 + -8w Solving -8 + 24w = 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. -8 + 24w + 8w = 7 + -8w + 8w Combine like terms: 24w + 8w = 32w -8 + 32w = 7 + -8w + 8w Combine like terms: -8w + 8w = 0 -8 + 32w = 7 + 0 -8 + 32w = 7 Add '8' to each side of the equation. -8 + 8 + 32w = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 32w = 7 + 8 32w = 7 + 8 Combine like terms: 7 + 8 = 15 32w = 15 Divide each side by '32'. w = 0.46875 Simplifying w = 0.46875
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