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Simplifying 45 = 8w + -6 Reorder the terms: 45 = -6 + 8w Solving 45 = -6 + 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. 45 + -8w = -6 + 8w + -8w Combine like terms: 8w + -8w = 0 45 + -8w = -6 + 0 45 + -8w = -6 Add '-45' to each side of the equation. 45 + -45 + -8w = -6 + -45 Combine like terms: 45 + -45 = 0 0 + -8w = -6 + -45 -8w = -6 + -45 Combine like terms: -6 + -45 = -51 -8w = -51 Divide each side by '-8'. w = 6.375 Simplifying w = 6.375
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