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Simplifying 7(h + 2 + 6k) = 0 Reorder the terms: 7(2 + h + 6k) = 0 (2 * 7 + h * 7 + 6k * 7) = 0 (14 + 7h + 42k) = 0 Solving 14 + 7h + 42k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 7h + -14 + 42k = 0 + -14 Reorder the terms: 14 + -14 + 7h + 42k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7h + 42k = 0 + -14 7h + 42k = 0 + -14 Combine like terms: 0 + -14 = -14 7h + 42k = -14 Add '-42k' to each side of the equation. 7h + 42k + -42k = -14 + -42k Combine like terms: 42k + -42k = 0 7h + 0 = -14 + -42k 7h = -14 + -42k Divide each side by '7'. h = -2 + -6k Simplifying h = -2 + -6k
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