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Simplifying 2j + 5(j + 8) = 61 Reorder the terms: 2j + 5(8 + j) = 61 2j + (8 * 5 + j * 5) = 61 2j + (40 + 5j) = 61 Reorder the terms: 40 + 2j + 5j = 61 Combine like terms: 2j + 5j = 7j 40 + 7j = 61 Solving 40 + 7j = 61 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7j = 61 + -40 Combine like terms: 40 + -40 = 0 0 + 7j = 61 + -40 7j = 61 + -40 Combine like terms: 61 + -40 = 21 7j = 21 Divide each side by '7'. j = 3 Simplifying j = 3
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