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Simplifying (8 * -4) + (8 * 18) = 8(i + 18) Multiply 8 * -4 (-32) + (8 * 18) = 8(i + 18) -32 + (8 * 18) = 8(i + 18) Multiply 8 * 18 -32 + (144) = 8(i + 18) -32 + 144 = 8(i + 18) Combine like terms: -32 + 144 = 112 112 = 8(i + 18) Reorder the terms: 112 = 8(18 + i) 112 = (18 * 8 + i * 8) 112 = (144 + 8i) Solving 112 = 144 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 112 + -8i = 144 + 8i + -8i Combine like terms: 8i + -8i = 0 112 + -8i = 144 + 0 112 + -8i = 144 Add '-112' to each side of the equation. 112 + -112 + -8i = 144 + -112 Combine like terms: 112 + -112 = 0 0 + -8i = 144 + -112 -8i = 144 + -112 Combine like terms: 144 + -112 = 32 -8i = 32 Divide each side by '-8'. i = -4 Simplifying i = -4
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