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Simplifying 3h + 4j + -2(3h + -2j + 3k) = 0 3h + 4j + (3h * -2 + -2j * -2 + 3k * -2) = 0 3h + 4j + (-6h + 4j + -6k) = 0 Reorder the terms: 3h + -6h + 4j + 4j + -6k = 0 Combine like terms: 3h + -6h = -3h -3h + 4j + 4j + -6k = 0 Combine like terms: 4j + 4j = 8j -3h + 8j + -6k = 0 Solving -3h + 8j + -6k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8j' to each side of the equation. -3h + 8j + -8j + -6k = 0 + -8j Combine like terms: 8j + -8j = 0 -3h + 0 + -6k = 0 + -8j -3h + -6k = 0 + -8j Remove the zero: -3h + -6k = -8j Add '6k' to each side of the equation. -3h + -6k + 6k = -8j + 6k Combine like terms: -6k + 6k = 0 -3h + 0 = -8j + 6k -3h = -8j + 6k Divide each side by '-3'. h = 2.666666667j + -2k Simplifying h = 2.666666667j + -2k
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