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Simplifying 2j + -5 = 5(j + 4) Reorder the terms: -5 + 2j = 5(j + 4) Reorder the terms: -5 + 2j = 5(4 + j) -5 + 2j = (4 * 5 + j * 5) -5 + 2j = (20 + 5j) Solving -5 + 2j = 20 + 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. -5 + 2j + -5j = 20 + 5j + -5j Combine like terms: 2j + -5j = -3j -5 + -3j = 20 + 5j + -5j Combine like terms: 5j + -5j = 0 -5 + -3j = 20 + 0 -5 + -3j = 20 Add '5' to each side of the equation. -5 + 5 + -3j = 20 + 5 Combine like terms: -5 + 5 = 0 0 + -3j = 20 + 5 -3j = 20 + 5 Combine like terms: 20 + 5 = 25 -3j = 25 Divide each side by '-3'. j = -8.333333333 Simplifying j = -8.333333333
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