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Simplifying 2(2n + -5) + -5(6 + -1n) = 7n + 7n Reorder the terms: 2(-5 + 2n) + -5(6 + -1n) = 7n + 7n (-5 * 2 + 2n * 2) + -5(6 + -1n) = 7n + 7n (-10 + 4n) + -5(6 + -1n) = 7n + 7n -10 + 4n + (6 * -5 + -1n * -5) = 7n + 7n -10 + 4n + (-30 + 5n) = 7n + 7n Reorder the terms: -10 + -30 + 4n + 5n = 7n + 7n Combine like terms: -10 + -30 = -40 -40 + 4n + 5n = 7n + 7n Combine like terms: 4n + 5n = 9n -40 + 9n = 7n + 7n Combine like terms: 7n + 7n = 14n -40 + 9n = 14n Solving -40 + 9n = 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. -40 + 9n + -14n = 14n + -14n Combine like terms: 9n + -14n = -5n -40 + -5n = 14n + -14n Combine like terms: 14n + -14n = 0 -40 + -5n = 0 Add '40' to each side of the equation. -40 + 40 + -5n = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -5n = 0 + 40 -5n = 0 + 40 Combine like terms: 0 + 40 = 40 -5n = 40 Divide each side by '-5'. n = -8 Simplifying n = -8
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