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Simplifying j + -6 = 2j + 3 Reorder the terms: -6 + j = 2j + 3 Reorder the terms: -6 + j = 3 + 2j Solving -6 + j = 3 + 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. -6 + j + -2j = 3 + 2j + -2j Combine like terms: j + -2j = -1j -6 + -1j = 3 + 2j + -2j Combine like terms: 2j + -2j = 0 -6 + -1j = 3 + 0 -6 + -1j = 3 Add '6' to each side of the equation. -6 + 6 + -1j = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -1j = 3 + 6 -1j = 3 + 6 Combine like terms: 3 + 6 = 9 -1j = 9 Divide each side by '-1'. j = -9 Simplifying j = -9
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