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Simplifying j + 4 = 3j + -10 Reorder the terms: 4 + j = 3j + -10 Reorder the terms: 4 + j = -10 + 3j Solving 4 + j = -10 + 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. 4 + j + -3j = -10 + 3j + -3j Combine like terms: j + -3j = -2j 4 + -2j = -10 + 3j + -3j Combine like terms: 3j + -3j = 0 4 + -2j = -10 + 0 4 + -2j = -10 Add '-4' to each side of the equation. 4 + -4 + -2j = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2j = -10 + -4 -2j = -10 + -4 Combine like terms: -10 + -4 = -14 -2j = -14 Divide each side by '-2'. j = 7 Simplifying j = 7
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