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Simplifying 9h + 6k + -7(9h + 3k) = 0 9h + 6k + (9h * -7 + 3k * -7) = 0 9h + 6k + (-63h + -21k) = 0 Reorder the terms: 9h + -63h + 6k + -21k = 0 Combine like terms: 9h + -63h = -54h -54h + 6k + -21k = 0 Combine like terms: 6k + -21k = -15k -54h + -15k = 0 Solving -54h + -15k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '15k' to each side of the equation. -54h + -15k + 15k = 0 + 15k Combine like terms: -15k + 15k = 0 -54h + 0 = 0 + 15k -54h = 0 + 15k Remove the zero: -54h = 15k Divide each side by '-54'. h = -0.2777777778k Simplifying h = -0.2777777778k
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