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Simplifying 42 = 4w + 3w Combine like terms: 4w + 3w = 7w 42 = 7w Solving 42 = 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. 42 + -7w = 7w + -7w Combine like terms: 7w + -7w = 0 42 + -7w = 0 Add '-42' to each side of the equation. 42 + -42 + -7w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -7w = 0 + -42 -7w = 0 + -42 Combine like terms: 0 + -42 = -42 -7w = -42 Divide each side by '-7'. w = 6 Simplifying w = 6
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