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Simplifying 4b + -5 + (-1a + -3i) = 7 + -8i Remove parenthesis around (-1a + -3i) 4b + -5 + -1a + -3i = 7 + -8i Reorder the terms: -5 + -1a + 4b + -3i = 7 + -8i Solving -5 + -1a + 4b + -3i = 7 + -8i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1a + 4b + 5 + -3i = 7 + 5 + -8i Reorder the terms: -5 + 5 + -1a + 4b + -3i = 7 + 5 + -8i Combine like terms: -5 + 5 = 0 0 + -1a + 4b + -3i = 7 + 5 + -8i -1a + 4b + -3i = 7 + 5 + -8i Combine like terms: 7 + 5 = 12 -1a + 4b + -3i = 12 + -8i Add '-4b' to each side of the equation. -1a + 4b + -4b + -3i = 12 + -4b + -8i Combine like terms: 4b + -4b = 0 -1a + 0 + -3i = 12 + -4b + -8i -1a + -3i = 12 + -4b + -8i Add '3i' to each side of the equation. -1a + -3i + 3i = 12 + -4b + -8i + 3i Combine like terms: -3i + 3i = 0 -1a + 0 = 12 + -4b + -8i + 3i -1a = 12 + -4b + -8i + 3i Combine like terms: -8i + 3i = -5i -1a = 12 + -4b + -5i Divide each side by '-1'. a = -12 + 4b + 5i Simplifying a = -12 + 4b + 5i
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