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Simplifying 6w + -2w + 3 = 7w + -12 Reorder the terms: 3 + 6w + -2w = 7w + -12 Combine like terms: 6w + -2w = 4w 3 + 4w = 7w + -12 Reorder the terms: 3 + 4w = -12 + 7w Solving 3 + 4w = -12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 3 + 4w + -7w = -12 + 7w + -7w Combine like terms: 4w + -7w = -3w 3 + -3w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + -3w = -12 + 0 3 + -3w = -12 Add '-3' to each side of the equation. 3 + -3 + -3w = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3w = -12 + -3 -3w = -12 + -3 Combine like terms: -12 + -3 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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