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Simplifying 6(i + -2) = -7(11 + i) Reorder the terms: 6(-2 + i) = -7(11 + i) (-2 * 6 + i * 6) = -7(11 + i) (-12 + 6i) = -7(11 + i) -12 + 6i = (11 * -7 + i * -7) -12 + 6i = (-77 + -7i) Solving -12 + 6i = -77 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. -12 + 6i + 7i = -77 + -7i + 7i Combine like terms: 6i + 7i = 13i -12 + 13i = -77 + -7i + 7i Combine like terms: -7i + 7i = 0 -12 + 13i = -77 + 0 -12 + 13i = -77 Add '12' to each side of the equation. -12 + 12 + 13i = -77 + 12 Combine like terms: -12 + 12 = 0 0 + 13i = -77 + 12 13i = -77 + 12 Combine like terms: -77 + 12 = -65 13i = -65 Divide each side by '13'. i = -5 Simplifying i = -5
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