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Simplifying 7(h + 9 + 4k) = 0 Reorder the terms: 7(9 + h + 4k) = 0 (9 * 7 + h * 7 + 4k * 7) = 0 (63 + 7h + 28k) = 0 Solving 63 + 7h + 28k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 7h + -63 + 28k = 0 + -63 Reorder the terms: 63 + -63 + 7h + 28k = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 7h + 28k = 0 + -63 7h + 28k = 0 + -63 Combine like terms: 0 + -63 = -63 7h + 28k = -63 Add '-28k' to each side of the equation. 7h + 28k + -28k = -63 + -28k Combine like terms: 28k + -28k = 0 7h + 0 = -63 + -28k 7h = -63 + -28k Divide each side by '7'. h = -9 + -4k Simplifying h = -9 + -4k
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