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Simplifying 3(j + 5) + 2 = 11q + -8q Reorder the terms: 3(5 + j) + 2 = 11q + -8q (5 * 3 + j * 3) + 2 = 11q + -8q (15 + 3j) + 2 = 11q + -8q Reorder the terms: 15 + 2 + 3j = 11q + -8q Combine like terms: 15 + 2 = 17 17 + 3j = 11q + -8q Combine like terms: 11q + -8q = 3q 17 + 3j = 3q Solving 17 + 3j = 3q Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3j = -17 + 3q Combine like terms: 17 + -17 = 0 0 + 3j = -17 + 3q 3j = -17 + 3q Divide each side by '3'. j = -5.666666667 + q Simplifying j = -5.666666667 + q
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