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Simplifying 6h + 3j + -9(6h + -5j + 4k) = 0 6h + 3j + (6h * -9 + -5j * -9 + 4k * -9) = 0 6h + 3j + (-54h + 45j + -36k) = 0 Reorder the terms: 6h + -54h + 3j + 45j + -36k = 0 Combine like terms: 6h + -54h = -48h -48h + 3j + 45j + -36k = 0 Combine like terms: 3j + 45j = 48j -48h + 48j + -36k = 0 Solving -48h + 48j + -36k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-48j' to each side of the equation. -48h + 48j + -48j + -36k = 0 + -48j Combine like terms: 48j + -48j = 0 -48h + 0 + -36k = 0 + -48j -48h + -36k = 0 + -48j Remove the zero: -48h + -36k = -48j Add '36k' to each side of the equation. -48h + -36k + 36k = -48j + 36k Combine like terms: -36k + 36k = 0 -48h + 0 = -48j + 36k -48h = -48j + 36k Divide each side by '-48'. h = j + -0.75k Simplifying h = j + -0.75k
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