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Simplifying 4w + 12 = 7w Reorder the terms: 12 + 4w = 7w Solving 12 + 4w = 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. 12 + 4w + -7w = 7w + -7w Combine like terms: 4w + -7w = -3w 12 + -3w = 7w + -7w Combine like terms: 7w + -7w = 0 12 + -3w = 0 Add '-12' to each side of the equation. 12 + -12 + -3w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 0 + -12 -3w = 0 + -12 Combine like terms: 0 + -12 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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