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Simplifying 6(j + -7) + 5(2j + 7) = 37 Reorder the terms: 6(-7 + j) + 5(2j + 7) = 37 (-7 * 6 + j * 6) + 5(2j + 7) = 37 (-42 + 6j) + 5(2j + 7) = 37 Reorder the terms: -42 + 6j + 5(7 + 2j) = 37 -42 + 6j + (7 * 5 + 2j * 5) = 37 -42 + 6j + (35 + 10j) = 37 Reorder the terms: -42 + 35 + 6j + 10j = 37 Combine like terms: -42 + 35 = -7 -7 + 6j + 10j = 37 Combine like terms: 6j + 10j = 16j -7 + 16j = 37 Solving -7 + 16j = 37 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16j = 37 + 7 Combine like terms: -7 + 7 = 0 0 + 16j = 37 + 7 16j = 37 + 7 Combine like terms: 37 + 7 = 44 16j = 44 Divide each side by '16'. j = 2.75 Simplifying j = 2.75
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