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Simplifying (14j + -15k + -8) + (2j + -8k + -4) = 0 Reorder the terms: (-8 + 14j + -15k) + (2j + -8k + -4) = 0 Remove parenthesis around (-8 + 14j + -15k) -8 + 14j + -15k + (2j + -8k + -4) = 0 Reorder the terms: -8 + 14j + -15k + (-4 + 2j + -8k) = 0 Remove parenthesis around (-4 + 2j + -8k) -8 + 14j + -15k + -4 + 2j + -8k = 0 Reorder the terms: -8 + -4 + 14j + 2j + -15k + -8k = 0 Combine like terms: -8 + -4 = -12 -12 + 14j + 2j + -15k + -8k = 0 Combine like terms: 14j + 2j = 16j -12 + 16j + -15k + -8k = 0 Combine like terms: -15k + -8k = -23k -12 + 16j + -23k = 0 Solving -12 + 16j + -23k = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 16j + 12 + -23k = 0 + 12 Reorder the terms: -12 + 12 + 16j + -23k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 16j + -23k = 0 + 12 16j + -23k = 0 + 12 Combine like terms: 0 + 12 = 12 16j + -23k = 12 Add '23k' to each side of the equation. 16j + -23k + 23k = 12 + 23k Combine like terms: -23k + 23k = 0 16j + 0 = 12 + 23k 16j = 12 + 23k Divide each side by '16'. j = 0.75 + 1.4375k Simplifying j = 0.75 + 1.4375k
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