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Simplifying 6(w + 7) = 9w + 30 Reorder the terms: 6(7 + w) = 9w + 30 (7 * 6 + w * 6) = 9w + 30 (42 + 6w) = 9w + 30 Reorder the terms: 42 + 6w = 30 + 9w Solving 42 + 6w = 30 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 42 + 6w + -9w = 30 + 9w + -9w Combine like terms: 6w + -9w = -3w 42 + -3w = 30 + 9w + -9w Combine like terms: 9w + -9w = 0 42 + -3w = 30 + 0 42 + -3w = 30 Add '-42' to each side of the equation. 42 + -42 + -3w = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -3w = 30 + -42 -3w = 30 + -42 Combine like terms: 30 + -42 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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