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Simplifying 3w + 10 = 4 + -6w Reorder the terms: 10 + 3w = 4 + -6w Solving 10 + 3w = 4 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 10 + 3w + 6w = 4 + -6w + 6w Combine like terms: 3w + 6w = 9w 10 + 9w = 4 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 9w = 4 + 0 10 + 9w = 4 Add '-10' to each side of the equation. 10 + -10 + 9w = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 9w = 4 + -10 9w = 4 + -10 Combine like terms: 4 + -10 = -6 9w = -6 Divide each side by '9'. w = -0.6666666667 Simplifying w = -0.6666666667
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