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Simplifying (6h + -8j + 6k) + -4(-6h + 3j + -8k) = 0 Remove parenthesis around (6h + -8j + 6k) 6h + -8j + 6k + -4(-6h + 3j + -8k) = 0 6h + -8j + 6k + (-6h * -4 + 3j * -4 + -8k * -4) = 0 6h + -8j + 6k + (24h + -12j + 32k) = 0 Reorder the terms: 6h + 24h + -8j + -12j + 6k + 32k = 0 Combine like terms: 6h + 24h = 30h 30h + -8j + -12j + 6k + 32k = 0 Combine like terms: -8j + -12j = -20j 30h + -20j + 6k + 32k = 0 Combine like terms: 6k + 32k = 38k 30h + -20j + 38k = 0 Solving 30h + -20j + 38k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '20j' to each side of the equation. 30h + -20j + 20j + 38k = 0 + 20j Combine like terms: -20j + 20j = 0 30h + 0 + 38k = 0 + 20j 30h + 38k = 0 + 20j Remove the zero: 30h + 38k = 20j Add '-38k' to each side of the equation. 30h + 38k + -38k = 20j + -38k Combine like terms: 38k + -38k = 0 30h + 0 = 20j + -38k 30h = 20j + -38k Divide each side by '30'. h = 0.6666666667j + -1.266666667k Simplifying h = 0.6666666667j + -1.266666667k
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