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Simplifying 8w + 45 + -17 = -53 Reorder the terms: 45 + -17 + 8w = -53 Combine like terms: 45 + -17 = 28 28 + 8w = -53 Solving 28 + 8w = -53 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8w = -53 + -28 Combine like terms: 28 + -28 = 0 0 + 8w = -53 + -28 8w = -53 + -28 Combine like terms: -53 + -28 = -81 8w = -81 Divide each side by '8'. w = -10.125 Simplifying w = -10.125
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