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Simplifying n = (i + -2j + 3k) + -3(-1i + 4j + -1k) Remove parenthesis around (i + -2j + 3k) n = i + -2j + 3k + -3(-1i + 4j + -1k) n = i + -2j + 3k + (-1i * -3 + 4j * -3 + -1k * -3) n = i + -2j + 3k + (3i + -12j + 3k) Reorder the terms: n = i + 3i + -2j + -12j + 3k + 3k Combine like terms: i + 3i = 4i n = 4i + -2j + -12j + 3k + 3k Combine like terms: -2j + -12j = -14j n = 4i + -14j + 3k + 3k Combine like terms: 3k + 3k = 6k n = 4i + -14j + 6k Solving n = 4i + -14j + 6k Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Simplifying n = 4i + -14j + 6k
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