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Simplifying 5(n + -7) + -1(3 + -2n) = 6n Reorder the terms: 5(-7 + n) + -1(3 + -2n) = 6n (-7 * 5 + n * 5) + -1(3 + -2n) = 6n (-35 + 5n) + -1(3 + -2n) = 6n -35 + 5n + (3 * -1 + -2n * -1) = 6n -35 + 5n + (-3 + 2n) = 6n Reorder the terms: -35 + -3 + 5n + 2n = 6n Combine like terms: -35 + -3 = -38 -38 + 5n + 2n = 6n Combine like terms: 5n + 2n = 7n -38 + 7n = 6n Solving -38 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -38 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -38 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -38 + 1n = 0 Add '38' to each side of the equation. -38 + 38 + 1n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1n = 0 + 38 1n = 0 + 38 Combine like terms: 0 + 38 = 38 1n = 38 Divide each side by '1'. n = 38 Simplifying n = 38
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