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Simplifying (9h + -7j + 8k) + -9(-9h + 2j + -2k) = 0 Remove parenthesis around (9h + -7j + 8k) 9h + -7j + 8k + -9(-9h + 2j + -2k) = 0 9h + -7j + 8k + (-9h * -9 + 2j * -9 + -2k * -9) = 0 9h + -7j + 8k + (81h + -18j + 18k) = 0 Reorder the terms: 9h + 81h + -7j + -18j + 8k + 18k = 0 Combine like terms: 9h + 81h = 90h 90h + -7j + -18j + 8k + 18k = 0 Combine like terms: -7j + -18j = -25j 90h + -25j + 8k + 18k = 0 Combine like terms: 8k + 18k = 26k 90h + -25j + 26k = 0 Solving 90h + -25j + 26k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '25j' to each side of the equation. 90h + -25j + 25j + 26k = 0 + 25j Combine like terms: -25j + 25j = 0 90h + 0 + 26k = 0 + 25j 90h + 26k = 0 + 25j Remove the zero: 90h + 26k = 25j Add '-26k' to each side of the equation. 90h + 26k + -26k = 25j + -26k Combine like terms: 26k + -26k = 0 90h + 0 = 25j + -26k 90h = 25j + -26k Divide each side by '90'. h = 0.2777777778j + -0.2888888889k Simplifying h = 0.2777777778j + -0.2888888889k
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