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Simplifying 7(w + 4) = 9 + 6w Reorder the terms: 7(4 + w) = 9 + 6w (4 * 7 + w * 7) = 9 + 6w (28 + 7w) = 9 + 6w Solving 28 + 7w = 9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 28 + 7w + -6w = 9 + 6w + -6w Combine like terms: 7w + -6w = 1w 28 + 1w = 9 + 6w + -6w Combine like terms: 6w + -6w = 0 28 + 1w = 9 + 0 28 + 1w = 9 Add '-28' to each side of the equation. 28 + -28 + 1w = 9 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = 9 + -28 1w = 9 + -28 Combine like terms: 9 + -28 = -19 1w = -19 Divide each side by '1'. w = -19 Simplifying w = -19
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