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Simplifying 7(n + -5) + -1(3 + -6n) = 12 Reorder the terms: 7(-5 + n) + -1(3 + -6n) = 12 (-5 * 7 + n * 7) + -1(3 + -6n) = 12 (-35 + 7n) + -1(3 + -6n) = 12 -35 + 7n + (3 * -1 + -6n * -1) = 12 -35 + 7n + (-3 + 6n) = 12 Reorder the terms: -35 + -3 + 7n + 6n = 12 Combine like terms: -35 + -3 = -38 -38 + 7n + 6n = 12 Combine like terms: 7n + 6n = 13n -38 + 13n = 12 Solving -38 + 13n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 13n = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 13n = 12 + 38 13n = 12 + 38 Combine like terms: 12 + 38 = 50 13n = 50 Divide each side by '13'. n = 3.846153846 Simplifying n = 3.846153846
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