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Simplifying 7h + 2j + -9(7h + -4j + 4k) = 0 7h + 2j + (7h * -9 + -4j * -9 + 4k * -9) = 0 7h + 2j + (-63h + 36j + -36k) = 0 Reorder the terms: 7h + -63h + 2j + 36j + -36k = 0 Combine like terms: 7h + -63h = -56h -56h + 2j + 36j + -36k = 0 Combine like terms: 2j + 36j = 38j -56h + 38j + -36k = 0 Solving -56h + 38j + -36k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-38j' to each side of the equation. -56h + 38j + -38j + -36k = 0 + -38j Combine like terms: 38j + -38j = 0 -56h + 0 + -36k = 0 + -38j -56h + -36k = 0 + -38j Remove the zero: -56h + -36k = -38j Add '36k' to each side of the equation. -56h + -36k + 36k = -38j + 36k Combine like terms: -36k + 36k = 0 -56h + 0 = -38j + 36k -56h = -38j + 36k Divide each side by '-56'. h = 0.6785714286j + -0.6428571429k Simplifying h = 0.6785714286j + -0.6428571429k
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