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Simplifying 8(j + -4) = 3(5j + -2) Reorder the terms: 8(-4 + j) = 3(5j + -2) (-4 * 8 + j * 8) = 3(5j + -2) (-32 + 8j) = 3(5j + -2) Reorder the terms: -32 + 8j = 3(-2 + 5j) -32 + 8j = (-2 * 3 + 5j * 3) -32 + 8j = (-6 + 15j) Solving -32 + 8j = -6 + 15j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-15j' to each side of the equation. -32 + 8j + -15j = -6 + 15j + -15j Combine like terms: 8j + -15j = -7j -32 + -7j = -6 + 15j + -15j Combine like terms: 15j + -15j = 0 -32 + -7j = -6 + 0 -32 + -7j = -6 Add '32' to each side of the equation. -32 + 32 + -7j = -6 + 32 Combine like terms: -32 + 32 = 0 0 + -7j = -6 + 32 -7j = -6 + 32 Combine like terms: -6 + 32 = 26 -7j = 26 Divide each side by '-7'. j = -3.714285714 Simplifying j = -3.714285714
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