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Simplifying 3j + -2k + -1[5h + -1(3j + k)] = 0 3j + -2k + -1[5h + (3j * -1 + k * -1)] = 0 3j + -2k + -1[5h + (-3j + -1k)] = 0 3j + -2k + [5h * -1 + -3j * -1 + -1k * -1] = 0 3j + -2k + [-5h + 3j + 1k] = 0 Reorder the terms: -5h + 3j + 3j + -2k + 1k = 0 Combine like terms: 3j + 3j = 6j -5h + 6j + -2k + 1k = 0 Combine like terms: -2k + 1k = -1k -5h + 6j + -1k = 0 Solving -5h + 6j + -1k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6j' to each side of the equation. -5h + 6j + -6j + -1k = 0 + -6j Combine like terms: 6j + -6j = 0 -5h + 0 + -1k = 0 + -6j -5h + -1k = 0 + -6j Remove the zero: -5h + -1k = -6j Add 'k' to each side of the equation. -5h + -1k + k = -6j + k Combine like terms: -1k + k = 0 -5h + 0 = -6j + k -5h = -6j + k Divide each side by '-5'. h = 1.2j + -0.2k Simplifying h = 1.2j + -0.2k
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