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Simplifying 4h + 3j + -3(4h + -5j + 2k) = 0 4h + 3j + (4h * -3 + -5j * -3 + 2k * -3) = 0 4h + 3j + (-12h + 15j + -6k) = 0 Reorder the terms: 4h + -12h + 3j + 15j + -6k = 0 Combine like terms: 4h + -12h = -8h -8h + 3j + 15j + -6k = 0 Combine like terms: 3j + 15j = 18j -8h + 18j + -6k = 0 Solving -8h + 18j + -6k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-18j' to each side of the equation. -8h + 18j + -18j + -6k = 0 + -18j Combine like terms: 18j + -18j = 0 -8h + 0 + -6k = 0 + -18j -8h + -6k = 0 + -18j Remove the zero: -8h + -6k = -18j Add '6k' to each side of the equation. -8h + -6k + 6k = -18j + 6k Combine like terms: -6k + 6k = 0 -8h + 0 = -18j + 6k -8h = -18j + 6k Divide each side by '-8'. h = 2.25j + -0.75k Simplifying h = 2.25j + -0.75k
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