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Simplifying j + -2(1 + -2) = 3(j + -3) + 5 Combine like terms: 1 + -2 = -1 j + -2(-1) = 3(j + -3) + 5 Multiply -2 * -1 j + 2 = 3(j + -3) + 5 Reorder the terms: 2 + j = 3(j + -3) + 5 Reorder the terms: 2 + j = 3(-3 + j) + 5 2 + j = (-3 * 3 + j * 3) + 5 2 + j = (-9 + 3j) + 5 Reorder the terms: 2 + j = -9 + 5 + 3j Combine like terms: -9 + 5 = -4 2 + j = -4 + 3j Solving 2 + j = -4 + 3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3j' to each side of the equation. 2 + j + -3j = -4 + 3j + -3j Combine like terms: j + -3j = -2j 2 + -2j = -4 + 3j + -3j Combine like terms: 3j + -3j = 0 2 + -2j = -4 + 0 2 + -2j = -4 Add '-2' to each side of the equation. 2 + -2 + -2j = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -2j = -4 + -2 -2j = -4 + -2 Combine like terms: -4 + -2 = -6 -2j = -6 Divide each side by '-2'. j = 3 Simplifying j = 3
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