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Simplifying 4(7i + -5) = 6(4i + -2) Reorder the terms: 4(-5 + 7i) = 6(4i + -2) (-5 * 4 + 7i * 4) = 6(4i + -2) (-20 + 28i) = 6(4i + -2) Reorder the terms: -20 + 28i = 6(-2 + 4i) -20 + 28i = (-2 * 6 + 4i * 6) -20 + 28i = (-12 + 24i) Solving -20 + 28i = -12 + 24i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24i' to each side of the equation. -20 + 28i + -24i = -12 + 24i + -24i Combine like terms: 28i + -24i = 4i -20 + 4i = -12 + 24i + -24i Combine like terms: 24i + -24i = 0 -20 + 4i = -12 + 0 -20 + 4i = -12 Add '20' to each side of the equation. -20 + 20 + 4i = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4i = -12 + 20 4i = -12 + 20 Combine like terms: -12 + 20 = 8 4i = 8 Divide each side by '4'. i = 2 Simplifying i = 2
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