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Simplifying 3(5 + -2n) + (8j + -7) = 0 (5 * 3 + -2n * 3) + (8j + -7) = 0 (15 + -6n) + (8j + -7) = 0 Reorder the terms: 15 + -6n + (-7 + 8j) = 0 Remove parenthesis around (-7 + 8j) 15 + -6n + -7 + 8j = 0 Reorder the terms: 15 + -7 + 8j + -6n = 0 Combine like terms: 15 + -7 = 8 8 + 8j + -6n = 0 Solving 8 + 8j + -6n = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8j + -8 + -6n = 0 + -8 Reorder the terms: 8 + -8 + 8j + -6n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8j + -6n = 0 + -8 8j + -6n = 0 + -8 Combine like terms: 0 + -8 = -8 8j + -6n = -8 Add '6n' to each side of the equation. 8j + -6n + 6n = -8 + 6n Combine like terms: -6n + 6n = 0 8j + 0 = -8 + 6n 8j = -8 + 6n Divide each side by '8'. j = -1 + 0.75n Simplifying j = -1 + 0.75n
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