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Simplifying 30 = 2(j + -61) Reorder the terms: 30 = 2(-61 + j) 30 = (-61 * 2 + j * 2) 30 = (-122 + 2j) Solving 30 = -122 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 30 + -2j = -122 + 2j + -2j Combine like terms: 2j + -2j = 0 30 + -2j = -122 + 0 30 + -2j = -122 Add '-30' to each side of the equation. 30 + -30 + -2j = -122 + -30 Combine like terms: 30 + -30 = 0 0 + -2j = -122 + -30 -2j = -122 + -30 Combine like terms: -122 + -30 = -152 -2j = -152 Divide each side by '-2'. j = 76 Simplifying j = 76
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