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Simplifying 5(n + -3) + -1(7 + -2n) = 6 Reorder the terms: 5(-3 + n) + -1(7 + -2n) = 6 (-3 * 5 + n * 5) + -1(7 + -2n) = 6 (-15 + 5n) + -1(7 + -2n) = 6 -15 + 5n + (7 * -1 + -2n * -1) = 6 -15 + 5n + (-7 + 2n) = 6 Reorder the terms: -15 + -7 + 5n + 2n = 6 Combine like terms: -15 + -7 = -22 -22 + 5n + 2n = 6 Combine like terms: 5n + 2n = 7n -22 + 7n = 6 Solving -22 + 7n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 7n = 6 + 22 Combine like terms: -22 + 22 = 0 0 + 7n = 6 + 22 7n = 6 + 22 Combine like terms: 6 + 22 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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