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Simplifying 6j + -2j + 14j + -7j + -9n + -1(-19) = -15 Multiply -1 * -19 6j + -2j + 14j + -7j + -9n + 19 = -15 Reorder the terms: 19 + 6j + -2j + 14j + -7j + -9n = -15 Combine like terms: 6j + -2j = 4j 19 + 4j + 14j + -7j + -9n = -15 Combine like terms: 4j + 14j = 18j 19 + 18j + -7j + -9n = -15 Combine like terms: 18j + -7j = 11j 19 + 11j + -9n = -15 Solving 19 + 11j + -9n = -15 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 11j + -19 + -9n = -15 + -19 Reorder the terms: 19 + -19 + 11j + -9n = -15 + -19 Combine like terms: 19 + -19 = 0 0 + 11j + -9n = -15 + -19 11j + -9n = -15 + -19 Combine like terms: -15 + -19 = -34 11j + -9n = -34 Add '9n' to each side of the equation. 11j + -9n + 9n = -34 + 9n Combine like terms: -9n + 9n = 0 11j + 0 = -34 + 9n 11j = -34 + 9n Divide each side by '11'. j = -3.090909091 + 0.8181818182n Simplifying j = -3.090909091 + 0.8181818182n
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