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Simplifying -8j + 14 = -2(4) + -7 Reorder the terms: 14 + -8j = -2(4) + -7 Multiply -2 * 4 14 + -8j = -8 + -7 Combine like terms: -8 + -7 = -15 14 + -8j = -15 Solving 14 + -8j = -15 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -8j = -15 + -14 Combine like terms: 14 + -14 = 0 0 + -8j = -15 + -14 -8j = -15 + -14 Combine like terms: -15 + -14 = -29 -8j = -29 Divide each side by '-8'. j = 3.625 Simplifying j = 3.625
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