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Simplifying 4(2x + -8) = 8x + -1i Reorder the terms: 4(-8 + 2x) = 8x + -1i (-8 * 4 + 2x * 4) = 8x + -1i (-32 + 8x) = 8x + -1i Reorder the terms: -32 + 8x = -1i + 8x Add '-8x' to each side of the equation. -32 + 8x + -8x = -1i + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 0 = -1i + 8x + -8x -32 = -1i + 8x + -8x Combine like terms: 8x + -8x = 0 -32 = -1i + 0 -32 = -1i Solving -32 = -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. -32 + i = -1i + i Combine like terms: -1i + i = 0 -32 + i = 0 Add '32' to each side of the equation. -32 + 32 + i = 0 + 32 Combine like terms: -32 + 32 = 0 0 + i = 0 + 32 i = 0 + 32 Combine like terms: 0 + 32 = 32 i = 32 Simplifying i = 32
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