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Simplifying -6(n + -5) + -1(7n + -8) = -14n Reorder the terms: -6(-5 + n) + -1(7n + -8) = -14n (-5 * -6 + n * -6) + -1(7n + -8) = -14n (30 + -6n) + -1(7n + -8) = -14n Reorder the terms: 30 + -6n + -1(-8 + 7n) = -14n 30 + -6n + (-8 * -1 + 7n * -1) = -14n 30 + -6n + (8 + -7n) = -14n Reorder the terms: 30 + 8 + -6n + -7n = -14n Combine like terms: 30 + 8 = 38 38 + -6n + -7n = -14n Combine like terms: -6n + -7n = -13n 38 + -13n = -14n Solving 38 + -13n = -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 38 + -13n + 14n = -14n + 14n Combine like terms: -13n + 14n = 1n 38 + 1n = -14n + 14n Combine like terms: -14n + 14n = 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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