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Simplifying 3j + -4(j + 5) = 8 Reorder the terms: 3j + -4(5 + j) = 8 3j + (5 * -4 + j * -4) = 8 3j + (-20 + -4j) = 8 Reorder the terms: -20 + 3j + -4j = 8 Combine like terms: 3j + -4j = -1j -20 + -1j = 8 Solving -20 + -1j = 8 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1j = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -1j = 8 + 20 -1j = 8 + 20 Combine like terms: 8 + 20 = 28 -1j = 28 Divide each side by '-1'. j = -28 Simplifying j = -28
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