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Simplifying 6(j + -7) + 5(2j + 3) = 27 Reorder the terms: 6(-7 + j) + 5(2j + 3) = 27 (-7 * 6 + j * 6) + 5(2j + 3) = 27 (-42 + 6j) + 5(2j + 3) = 27 Reorder the terms: -42 + 6j + 5(3 + 2j) = 27 -42 + 6j + (3 * 5 + 2j * 5) = 27 -42 + 6j + (15 + 10j) = 27 Reorder the terms: -42 + 15 + 6j + 10j = 27 Combine like terms: -42 + 15 = -27 -27 + 6j + 10j = 27 Combine like terms: 6j + 10j = 16j -27 + 16j = 27 Solving -27 + 16j = 27 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 16j = 27 + 27 Combine like terms: -27 + 27 = 0 0 + 16j = 27 + 27 16j = 27 + 27 Combine like terms: 27 + 27 = 54 16j = 54 Divide each side by '16'. j = 3.375 Simplifying j = 3.375
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