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Simplifying 6h + 5j + -5(6h + -7j + 3k) = 0 6h + 5j + (6h * -5 + -7j * -5 + 3k * -5) = 0 6h + 5j + (-30h + 35j + -15k) = 0 Reorder the terms: 6h + -30h + 5j + 35j + -15k = 0 Combine like terms: 6h + -30h = -24h -24h + 5j + 35j + -15k = 0 Combine like terms: 5j + 35j = 40j -24h + 40j + -15k = 0 Solving -24h + 40j + -15k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-40j' to each side of the equation. -24h + 40j + -40j + -15k = 0 + -40j Combine like terms: 40j + -40j = 0 -24h + 0 + -15k = 0 + -40j -24h + -15k = 0 + -40j Remove the zero: -24h + -15k = -40j Add '15k' to each side of the equation. -24h + -15k + 15k = -40j + 15k Combine like terms: -15k + 15k = 0 -24h + 0 = -40j + 15k -24h = -40j + 15k Divide each side by '-24'. h = 1.666666667j + -0.625k Simplifying h = 1.666666667j + -0.625k
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