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Simplifying 3(j + 1) = 5(j + -3) Reorder the terms: 3(1 + j) = 5(j + -3) (1 * 3 + j * 3) = 5(j + -3) (3 + 3j) = 5(j + -3) Reorder the terms: 3 + 3j = 5(-3 + j) 3 + 3j = (-3 * 5 + j * 5) 3 + 3j = (-15 + 5j) Solving 3 + 3j = -15 + 5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-5j' to each side of the equation. 3 + 3j + -5j = -15 + 5j + -5j Combine like terms: 3j + -5j = -2j 3 + -2j = -15 + 5j + -5j Combine like terms: 5j + -5j = 0 3 + -2j = -15 + 0 3 + -2j = -15 Add '-3' to each side of the equation. 3 + -3 + -2j = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -2j = -15 + -3 -2j = -15 + -3 Combine like terms: -15 + -3 = -18 -2j = -18 Divide each side by '-2'. j = 9 Simplifying j = 9
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