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Simplifying 10w + 7 = 3w + -10 Reorder the terms: 7 + 10w = 3w + -10 Reorder the terms: 7 + 10w = -10 + 3w Solving 7 + 10w = -10 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7 + 10w + -3w = -10 + 3w + -3w Combine like terms: 10w + -3w = 7w 7 + 7w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 7w = -10 + 0 7 + 7w = -10 Add '-7' to each side of the equation. 7 + -7 + 7w = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 7w = -10 + -7 7w = -10 + -7 Combine like terms: -10 + -7 = -17 7w = -17 Divide each side by '7'. w = -2.428571429 Simplifying w = -2.428571429
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