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Simplifying 7j + -2(j + 6) = -2 Reorder the terms: 7j + -2(6 + j) = -2 7j + (6 * -2 + j * -2) = -2 7j + (-12 + -2j) = -2 Reorder the terms: -12 + 7j + -2j = -2 Combine like terms: 7j + -2j = 5j -12 + 5j = -2 Solving -12 + 5j = -2 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5j = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 5j = -2 + 12 5j = -2 + 12 Combine like terms: -2 + 12 = 10 5j = 10 Divide each side by '5'. j = 2 Simplifying j = 2
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