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Simplifying 7(2n + 6) + -8(5n + -3) = 3n + -7n Reorder the terms: 7(6 + 2n) + -8(5n + -3) = 3n + -7n (6 * 7 + 2n * 7) + -8(5n + -3) = 3n + -7n (42 + 14n) + -8(5n + -3) = 3n + -7n Reorder the terms: 42 + 14n + -8(-3 + 5n) = 3n + -7n 42 + 14n + (-3 * -8 + 5n * -8) = 3n + -7n 42 + 14n + (24 + -40n) = 3n + -7n Reorder the terms: 42 + 24 + 14n + -40n = 3n + -7n Combine like terms: 42 + 24 = 66 66 + 14n + -40n = 3n + -7n Combine like terms: 14n + -40n = -26n 66 + -26n = 3n + -7n Combine like terms: 3n + -7n = -4n 66 + -26n = -4n Solving 66 + -26n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 66 + -26n + 4n = -4n + 4n Combine like terms: -26n + 4n = -22n 66 + -22n = -4n + 4n Combine like terms: -4n + 4n = 0 66 + -22n = 0 Add '-66' to each side of the equation. 66 + -66 + -22n = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -22n = 0 + -66 -22n = 0 + -66 Combine like terms: 0 + -66 = -66 -22n = -66 Divide each side by '-22'. n = 3 Simplifying n = 3
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