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Simplifying 7w + -3 = w + -12 Reorder the terms: -3 + 7w = w + -12 Reorder the terms: -3 + 7w = -12 + w Solving -3 + 7w = -12 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -3 + 7w + -1w = -12 + w + -1w Combine like terms: 7w + -1w = 6w -3 + 6w = -12 + w + -1w Combine like terms: w + -1w = 0 -3 + 6w = -12 + 0 -3 + 6w = -12 Add '3' to each side of the equation. -3 + 3 + 6w = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 6w = -12 + 3 6w = -12 + 3 Combine like terms: -12 + 3 = -9 6w = -9 Divide each side by '6'. w = -1.5 Simplifying w = -1.5
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