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Simplifying 5 * 1 + -2w + 8w = 15 Multiply 5 * 1 5 + -2w + 8w = 15 Combine like terms: -2w + 8w = 6w 5 + 6w = 15 Solving 5 + 6w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6w = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 6w = 15 + -5 6w = 15 + -5 Combine like terms: 15 + -5 = 10 6w = 10 Divide each side by '6'. w = 1.666666667 Simplifying w = 1.666666667
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