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Simplifying (3j + k) + (-4j + -7k) + -1(j + k) = 0 Remove parenthesis around (3j + k) 3j + k + (-4j + -7k) + -1(j + k) = 0 Remove parenthesis around (-4j + -7k) 3j + k + -4j + -7k + -1(j + k) = 0 3j + k + -4j + -7k + (j * -1 + k * -1) = 0 3j + k + -4j + -7k + (-1j + -1k) = 0 Reorder the terms: 3j + -4j + -1j + k + -7k + -1k = 0 Combine like terms: 3j + -4j = -1j -1j + -1j + k + -7k + -1k = 0 Combine like terms: -1j + -1j = -2j -2j + k + -7k + -1k = 0 Combine like terms: k + -7k = -6k -2j + -6k + -1k = 0 Combine like terms: -6k + -1k = -7k -2j + -7k = 0 Solving -2j + -7k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7k' to each side of the equation. -2j + -7k + 7k = 0 + 7k Combine like terms: -7k + 7k = 0 -2j + 0 = 0 + 7k -2j = 0 + 7k Remove the zero: -2j = 7k Divide each side by '-2'. j = -3.5k Simplifying j = -3.5k
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