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Simplifying 8(w + 7) = 6w + 42 Reorder the terms: 8(7 + w) = 6w + 42 (7 * 8 + w * 8) = 6w + 42 (56 + 8w) = 6w + 42 Reorder the terms: 56 + 8w = 42 + 6w Solving 56 + 8w = 42 + 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. 56 + 8w + -6w = 42 + 6w + -6w Combine like terms: 8w + -6w = 2w 56 + 2w = 42 + 6w + -6w Combine like terms: 6w + -6w = 0 56 + 2w = 42 + 0 56 + 2w = 42 Add '-56' to each side of the equation. 56 + -56 + 2w = 42 + -56 Combine like terms: 56 + -56 = 0 0 + 2w = 42 + -56 2w = 42 + -56 Combine like terms: 42 + -56 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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