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Simplifying (6h + -3j + 5k) + -4(-6h + 7j + -5k) = 0 Remove parenthesis around (6h + -3j + 5k) 6h + -3j + 5k + -4(-6h + 7j + -5k) = 0 6h + -3j + 5k + (-6h * -4 + 7j * -4 + -5k * -4) = 0 6h + -3j + 5k + (24h + -28j + 20k) = 0 Reorder the terms: 6h + 24h + -3j + -28j + 5k + 20k = 0 Combine like terms: 6h + 24h = 30h 30h + -3j + -28j + 5k + 20k = 0 Combine like terms: -3j + -28j = -31j 30h + -31j + 5k + 20k = 0 Combine like terms: 5k + 20k = 25k 30h + -31j + 25k = 0 Solving 30h + -31j + 25k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '31j' to each side of the equation. 30h + -31j + 31j + 25k = 0 + 31j Combine like terms: -31j + 31j = 0 30h + 0 + 25k = 0 + 31j 30h + 25k = 0 + 31j Remove the zero: 30h + 25k = 31j Add '-25k' to each side of the equation. 30h + 25k + -25k = 31j + -25k Combine like terms: 25k + -25k = 0 30h + 0 = 31j + -25k 30h = 31j + -25k Divide each side by '30'. h = 1.033333333j + -0.8333333333k Simplifying h = 1.033333333j + -0.8333333333k
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