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Simplifying 3j + -6 = j + 2(3 + q) Reorder the terms: -6 + 3j = j + 2(3 + q) -6 + 3j = j + (3 * 2 + q * 2) -6 + 3j = j + (6 + 2q) Reorder the terms: -6 + 3j = 6 + j + 2q Solving -6 + 3j = 6 + j + 2q Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -6 + 3j + -1j = 6 + j + -1j + 2q Combine like terms: 3j + -1j = 2j -6 + 2j = 6 + j + -1j + 2q Combine like terms: j + -1j = 0 -6 + 2j = 6 + 0 + 2q -6 + 2j = 6 + 2q Add '6' to each side of the equation. -6 + 6 + 2j = 6 + 6 + 2q Combine like terms: -6 + 6 = 0 0 + 2j = 6 + 6 + 2q 2j = 6 + 6 + 2q Combine like terms: 6 + 6 = 12 2j = 12 + 2q Divide each side by '2'. j = 6 + q Simplifying j = 6 + q
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