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Simplifying 9w + 7 = 3w + -15 Reorder the terms: 7 + 9w = 3w + -15 Reorder the terms: 7 + 9w = -15 + 3w Solving 7 + 9w = -15 + 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 + 9w + -3w = -15 + 3w + -3w Combine like terms: 9w + -3w = 6w 7 + 6w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 6w = -15 + 0 7 + 6w = -15 Add '-7' to each side of the equation. 7 + -7 + 6w = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 6w = -15 + -7 6w = -15 + -7 Combine like terms: -15 + -7 = -22 6w = -22 Divide each side by '6'. w = -3.666666667 Simplifying w = -3.666666667
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