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Simplifying 30 = (2i) + (20 + -1i) + (10 + -1i) Remove parenthesis around (20 + -1i) 30 = (2i) + 20 + -1i + (10 + -1i) Remove parenthesis around (10 + -1i) 30 = (2i) + 20 + -1i + 10 + -1i Reorder the terms: 30 = 20 + 10 + (2i) + -1i + -1i Combine like terms: 20 + 10 = 30 30 = 30 + (2i) + -1i + -1i Combine like terms: (2i) + -1i = 1i 30 = 30 + 1i + -1i Combine like terms: 1i + -1i = 0 30 = 30 + 0 30 = 30 Add '-30' to each side of the equation. 30 + -30 = 30 + -30 Combine like terms: 30 + -30 = 0 0 = 30 + -30 Combine like terms: 30 + -30 = 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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