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Simplifying j + 14 = 2j + -20 Reorder the terms: 14 + j = 2j + -20 Reorder the terms: 14 + j = -20 + 2j Solving 14 + j = -20 + 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. 14 + j + -2j = -20 + 2j + -2j Combine like terms: j + -2j = -1j 14 + -1j = -20 + 2j + -2j Combine like terms: 2j + -2j = 0 14 + -1j = -20 + 0 14 + -1j = -20 Add '-14' to each side of the equation. 14 + -14 + -1j = -20 + -14 Combine like terms: 14 + -14 = 0 0 + -1j = -20 + -14 -1j = -20 + -14 Combine like terms: -20 + -14 = -34 -1j = -34 Divide each side by '-1'. j = 34 Simplifying j = 34
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