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Simplifying 15 + 2(3w + -7) = 10 Reorder the terms: 15 + 2(-7 + 3w) = 10 15 + (-7 * 2 + 3w * 2) = 10 15 + (-14 + 6w) = 10 Combine like terms: 15 + -14 = 1 1 + 6w = 10 Solving 1 + 6w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6w = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 6w = 10 + -1 6w = 10 + -1 Combine like terms: 10 + -1 = 9 6w = 9 Divide each side by '6'. w = 1.5 Simplifying w = 1.5
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