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Simplifying 5(i + 2) = 2(r + -4) + -6 Reorder the terms: 5(2 + i) = 2(r + -4) + -6 (2 * 5 + i * 5) = 2(r + -4) + -6 (10 + 5i) = 2(r + -4) + -6 Reorder the terms: 10 + 5i = 2(-4 + r) + -6 10 + 5i = (-4 * 2 + r * 2) + -6 10 + 5i = (-8 + 2r) + -6 Reorder the terms: 10 + 5i = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 10 + 5i = -14 + 2r Solving 10 + 5i = -14 + 2r Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5i = -14 + -10 + 2r Combine like terms: 10 + -10 = 0 0 + 5i = -14 + -10 + 2r 5i = -14 + -10 + 2r Combine like terms: -14 + -10 = -24 5i = -24 + 2r Divide each side by '5'. i = -4.8 + 0.4r Simplifying i = -4.8 + 0.4r
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