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Simplifying j + -5 = 3(j + -13) Reorder the terms: -5 + j = 3(j + -13) Reorder the terms: -5 + j = 3(-13 + j) -5 + j = (-13 * 3 + j * 3) -5 + j = (-39 + 3j) Solving -5 + j = -39 + 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. -5 + j + -3j = -39 + 3j + -3j Combine like terms: j + -3j = -2j -5 + -2j = -39 + 3j + -3j Combine like terms: 3j + -3j = 0 -5 + -2j = -39 + 0 -5 + -2j = -39 Add '5' to each side of the equation. -5 + 5 + -2j = -39 + 5 Combine like terms: -5 + 5 = 0 0 + -2j = -39 + 5 -2j = -39 + 5 Combine like terms: -39 + 5 = -34 -2j = -34 Divide each side by '-2'. j = 17 Simplifying j = 17
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