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Simplifying j + j + 2j + 3j + 4(5j + 6) = 51 Reorder the terms: j + j + 2j + 3j + 4(6 + 5j) = 51 j + j + 2j + 3j + (6 * 4 + 5j * 4) = 51 j + j + 2j + 3j + (24 + 20j) = 51 Reorder the terms: 24 + j + j + 2j + 3j + 20j = 51 Combine like terms: j + j = 2j 24 + 2j + 2j + 3j + 20j = 51 Combine like terms: 2j + 2j = 4j 24 + 4j + 3j + 20j = 51 Combine like terms: 4j + 3j = 7j 24 + 7j + 20j = 51 Combine like terms: 7j + 20j = 27j 24 + 27j = 51 Solving 24 + 27j = 51 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 27j = 51 + -24 Combine like terms: 24 + -24 = 0 0 + 27j = 51 + -24 27j = 51 + -24 Combine like terms: 51 + -24 = 27 27j = 27 Divide each side by '27'. j = 1 Simplifying j = 1
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