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Simplifying 15(6w + 2) + -7(8w + -10) = 0 Reorder the terms: 15(2 + 6w) + -7(8w + -10) = 0 (2 * 15 + 6w * 15) + -7(8w + -10) = 0 (30 + 90w) + -7(8w + -10) = 0 Reorder the terms: 30 + 90w + -7(-10 + 8w) = 0 30 + 90w + (-10 * -7 + 8w * -7) = 0 30 + 90w + (70 + -56w) = 0 Reorder the terms: 30 + 70 + 90w + -56w = 0 Combine like terms: 30 + 70 = 100 100 + 90w + -56w = 0 Combine like terms: 90w + -56w = 34w 100 + 34w = 0 Solving 100 + 34w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 34w = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 34w = 0 + -100 34w = 0 + -100 Combine like terms: 0 + -100 = -100 34w = -100 Divide each side by '34'. w = -2.941176471 Simplifying w = -2.941176471
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