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Simplifying w + 30 = 7w Reorder the terms: 30 + w = 7w Solving 30 + w = 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. 30 + w + -7w = 7w + -7w Combine like terms: w + -7w = -6w 30 + -6w = 7w + -7w Combine like terms: 7w + -7w = 0 30 + -6w = 0 Add '-30' to each side of the equation. 30 + -30 + -6w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6w = 0 + -30 -6w = 0 + -30 Combine like terms: 0 + -30 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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