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Simplifying 6(3n + 4i) + -7(2h + -1i) = 0 Reorder the terms: 6(4i + 3n) + -7(2h + -1i) = 0 (4i * 6 + 3n * 6) + -7(2h + -1i) = 0 (24i + 18n) + -7(2h + -1i) = 0 24i + 18n + (2h * -7 + -1i * -7) = 0 24i + 18n + (-14h + 7i) = 0 Reorder the terms: -14h + 24i + 7i + 18n = 0 Combine like terms: 24i + 7i = 31i -14h + 31i + 18n = 0 Solving -14h + 31i + 18n = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-31i' to each side of the equation. -14h + 31i + -31i + 18n = 0 + -31i Combine like terms: 31i + -31i = 0 -14h + 0 + 18n = 0 + -31i -14h + 18n = 0 + -31i Remove the zero: -14h + 18n = -31i Add '-18n' to each side of the equation. -14h + 18n + -18n = -31i + -18n Combine like terms: 18n + -18n = 0 -14h + 0 = -31i + -18n -14h = -31i + -18n Divide each side by '-14'. h = 2.214285714i + 1.285714286n Simplifying h = 2.214285714i + 1.285714286n
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