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Simplifying 8j + 4(4j + -3) = 4(6j + -4) + 4 Reorder the terms: 8j + 4(-3 + 4j) = 4(6j + -4) + 4 8j + (-3 * 4 + 4j * 4) = 4(6j + -4) + 4 8j + (-12 + 16j) = 4(6j + -4) + 4 Reorder the terms: -12 + 8j + 16j = 4(6j + -4) + 4 Combine like terms: 8j + 16j = 24j -12 + 24j = 4(6j + -4) + 4 Reorder the terms: -12 + 24j = 4(-4 + 6j) + 4 -12 + 24j = (-4 * 4 + 6j * 4) + 4 -12 + 24j = (-16 + 24j) + 4 Reorder the terms: -12 + 24j = -16 + 4 + 24j Combine like terms: -16 + 4 = -12 -12 + 24j = -12 + 24j Add '12' to each side of the equation. -12 + 12 + 24j = -12 + 12 + 24j Combine like terms: -12 + 12 = 0 0 + 24j = -12 + 12 + 24j 24j = -12 + 12 + 24j Combine like terms: -12 + 12 = 0 24j = 0 + 24j 24j = 24j Add '-24j' to each side of the equation. 24j + -24j = 24j + -24j Combine like terms: 24j + -24j = 0 0 = 24j + -24j Combine like terms: 24j + -24j = 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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