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Simplifying 3w + -10 = 9(2 + w) + -4 Reorder the terms: -10 + 3w = 9(2 + w) + -4 -10 + 3w = (2 * 9 + w * 9) + -4 -10 + 3w = (18 + 9w) + -4 Reorder the terms: -10 + 3w = 18 + -4 + 9w Combine like terms: 18 + -4 = 14 -10 + 3w = 14 + 9w Solving -10 + 3w = 14 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -10 + 3w + -9w = 14 + 9w + -9w Combine like terms: 3w + -9w = -6w -10 + -6w = 14 + 9w + -9w Combine like terms: 9w + -9w = 0 -10 + -6w = 14 + 0 -10 + -6w = 14 Add '10' to each side of the equation. -10 + 10 + -6w = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -6w = 14 + 10 -6w = 14 + 10 Combine like terms: 14 + 10 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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