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Simplifying -7w + 3 = -1w + 15 Reorder the terms: 3 + -7w = -1w + 15 Reorder the terms: 3 + -7w = 15 + -1w Solving 3 + -7w = 15 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 3 + -7w + w = 15 + -1w + w Combine like terms: -7w + w = -6w 3 + -6w = 15 + -1w + w Combine like terms: -1w + w = 0 3 + -6w = 15 + 0 3 + -6w = 15 Add '-3' to each side of the equation. 3 + -3 + -6w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -6w = 15 + -3 -6w = 15 + -3 Combine like terms: 15 + -3 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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