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Simplifying (2h + 6j + -2k) + -1(-7h + -5j + 4k) = 0 Remove parenthesis around (2h + 6j + -2k) 2h + 6j + -2k + -1(-7h + -5j + 4k) = 0 2h + 6j + -2k + (-7h * -1 + -5j * -1 + 4k * -1) = 0 2h + 6j + -2k + (7h + 5j + -4k) = 0 Reorder the terms: 2h + 7h + 6j + 5j + -2k + -4k = 0 Combine like terms: 2h + 7h = 9h 9h + 6j + 5j + -2k + -4k = 0 Combine like terms: 6j + 5j = 11j 9h + 11j + -2k + -4k = 0 Combine like terms: -2k + -4k = -6k 9h + 11j + -6k = 0 Solving 9h + 11j + -6k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-11j' to each side of the equation. 9h + 11j + -11j + -6k = 0 + -11j Combine like terms: 11j + -11j = 0 9h + 0 + -6k = 0 + -11j 9h + -6k = 0 + -11j Remove the zero: 9h + -6k = -11j Add '6k' to each side of the equation. 9h + -6k + 6k = -11j + 6k Combine like terms: -6k + 6k = 0 9h + 0 = -11j + 6k 9h = -11j + 6k Divide each side by '9'. h = -1.222222222j + 0.6666666667k Simplifying h = -1.222222222j + 0.6666666667k
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