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Simplifying 5(7 + 3i) = 5 * 7 + 5(3i) (7 * 5 + 3i * 5) = 5 * 7 + 5(3i) (35 + 15i) = 5 * 7 + 5(3i) Multiply 5 * 7 35 + 15i = 35 + 5(3i) Remove parenthesis around (3i) 35 + 15i = 35 + 5 * 3i Multiply 5 * 3 35 + 15i = 35 + 15i Add '-35' to each side of the equation. 35 + -35 + 15i = 35 + -35 + 15i Combine like terms: 35 + -35 = 0 0 + 15i = 35 + -35 + 15i 15i = 35 + -35 + 15i Combine like terms: 35 + -35 = 0 15i = 0 + 15i 15i = 15i Add '-15i' to each side of the equation. 15i + -15i = 15i + -15i Combine like terms: 15i + -15i = 0 0 = 15i + -15i Combine like terms: 15i + -15i = 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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