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Simplifying 8j + 4(4j + -3) = 4(5j + -4) + 14 Reorder the terms: 8j + 4(-3 + 4j) = 4(5j + -4) + 14 8j + (-3 * 4 + 4j * 4) = 4(5j + -4) + 14 8j + (-12 + 16j) = 4(5j + -4) + 14 Reorder the terms: -12 + 8j + 16j = 4(5j + -4) + 14 Combine like terms: 8j + 16j = 24j -12 + 24j = 4(5j + -4) + 14 Reorder the terms: -12 + 24j = 4(-4 + 5j) + 14 -12 + 24j = (-4 * 4 + 5j * 4) + 14 -12 + 24j = (-16 + 20j) + 14 Reorder the terms: -12 + 24j = -16 + 14 + 20j Combine like terms: -16 + 14 = -2 -12 + 24j = -2 + 20j Solving -12 + 24j = -2 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. -12 + 24j + -20j = -2 + 20j + -20j Combine like terms: 24j + -20j = 4j -12 + 4j = -2 + 20j + -20j Combine like terms: 20j + -20j = 0 -12 + 4j = -2 + 0 -12 + 4j = -2 Add '12' to each side of the equation. -12 + 12 + 4j = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 4j = -2 + 12 4j = -2 + 12 Combine like terms: -2 + 12 = 10 4j = 10 Divide each side by '4'. j = 2.5 Simplifying j = 2.5
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