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Simplifying 4(5j + -4) = 3(6j + -4) Reorder the terms: 4(-4 + 5j) = 3(6j + -4) (-4 * 4 + 5j * 4) = 3(6j + -4) (-16 + 20j) = 3(6j + -4) Reorder the terms: -16 + 20j = 3(-4 + 6j) -16 + 20j = (-4 * 3 + 6j * 3) -16 + 20j = (-12 + 18j) Solving -16 + 20j = -12 + 18j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-18j' to each side of the equation. -16 + 20j + -18j = -12 + 18j + -18j Combine like terms: 20j + -18j = 2j -16 + 2j = -12 + 18j + -18j Combine like terms: 18j + -18j = 0 -16 + 2j = -12 + 0 -16 + 2j = -12 Add '16' to each side of the equation. -16 + 16 + 2j = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 2j = -12 + 16 2j = -12 + 16 Combine like terms: -12 + 16 = 4 2j = 4 Divide each side by '2'. j = 2 Simplifying j = 2
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