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Simplifying 6(3i + -6) = 4(7i + 5) Reorder the terms: 6(-6 + 3i) = 4(7i + 5) (-6 * 6 + 3i * 6) = 4(7i + 5) (-36 + 18i) = 4(7i + 5) Reorder the terms: -36 + 18i = 4(5 + 7i) -36 + 18i = (5 * 4 + 7i * 4) -36 + 18i = (20 + 28i) Solving -36 + 18i = 20 + 28i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-28i' to each side of the equation. -36 + 18i + -28i = 20 + 28i + -28i Combine like terms: 18i + -28i = -10i -36 + -10i = 20 + 28i + -28i Combine like terms: 28i + -28i = 0 -36 + -10i = 20 + 0 -36 + -10i = 20 Add '36' to each side of the equation. -36 + 36 + -10i = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -10i = 20 + 36 -10i = 20 + 36 Combine like terms: 20 + 36 = 56 -10i = 56 Divide each side by '-10'. i = -5.6 Simplifying i = -5.6
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