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Simplifying j + -15j + 8 = -3(4j + -3) + -2j + -1 Reorder the terms: 8 + j + -15j = -3(4j + -3) + -2j + -1 Combine like terms: j + -15j = -14j 8 + -14j = -3(4j + -3) + -2j + -1 Reorder the terms: 8 + -14j = -3(-3 + 4j) + -2j + -1 8 + -14j = (-3 * -3 + 4j * -3) + -2j + -1 8 + -14j = (9 + -12j) + -2j + -1 Reorder the terms: 8 + -14j = 9 + -1 + -12j + -2j Combine like terms: 9 + -1 = 8 8 + -14j = 8 + -12j + -2j Combine like terms: -12j + -2j = -14j 8 + -14j = 8 + -14j Add '-8' to each side of the equation. 8 + -8 + -14j = 8 + -8 + -14j Combine like terms: 8 + -8 = 0 0 + -14j = 8 + -8 + -14j -14j = 8 + -8 + -14j Combine like terms: 8 + -8 = 0 -14j = 0 + -14j -14j = -14j Add '14j' to each side of the equation. -14j + 14j = -14j + 14j Combine like terms: -14j + 14j = 0 0 = -14j + 14j Combine like terms: -14j + 14j = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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