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Simplifying 8(4j + -4) = -5j + -32 Reorder the terms: 8(-4 + 4j) = -5j + -32 (-4 * 8 + 4j * 8) = -5j + -32 (-32 + 32j) = -5j + -32 Reorder the terms: -32 + 32j = -32 + -5j Add '32' to each side of the equation. -32 + 32 + 32j = -32 + 32 + -5j Combine like terms: -32 + 32 = 0 0 + 32j = -32 + 32 + -5j 32j = -32 + 32 + -5j Combine like terms: -32 + 32 = 0 32j = 0 + -5j 32j = -5j Solving 32j = -5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5j' to each side of the equation. 32j + 5j = -5j + 5j Combine like terms: 32j + 5j = 37j 37j = -5j + 5j Combine like terms: -5j + 5j = 0 37j = 0 Divide each side by '37'. j = 0 Simplifying j = 0
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