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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 = -1j 9h + -1j + -2k + 4k = 0 Combine like terms: -2k + 4k = 2k 9h + -1j + 2k = 0 Solving 9h + -1j + 2k = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add 'j' to each side of the equation. 9h + -1j + j + 2k = 0 + j Combine like terms: -1j + j = 0 9h + 0 + 2k = 0 + j 9h + 2k = 0 + j Remove the zero: 9h + 2k = j Add '-2k' to each side of the equation. 9h + 2k + -2k = j + -2k Combine like terms: 2k + -2k = 0 9h + 0 = j + -2k 9h = j + -2k Divide each side by '9'. h = 0.1111111111j + -0.2222222222k Simplifying h = 0.1111111111j + -0.2222222222k
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