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Simplifying -11 = 5(n + 2) + -7(n + 3) Reorder the terms: -11 = 5(2 + n) + -7(n + 3) -11 = (2 * 5 + n * 5) + -7(n + 3) -11 = (10 + 5n) + -7(n + 3) Reorder the terms: -11 = 10 + 5n + -7(3 + n) -11 = 10 + 5n + (3 * -7 + n * -7) -11 = 10 + 5n + (-21 + -7n) Reorder the terms: -11 = 10 + -21 + 5n + -7n Combine like terms: 10 + -21 = -11 -11 = -11 + 5n + -7n Combine like terms: 5n + -7n = -2n -11 = -11 + -2n Add '11' to each side of the equation. -11 + 11 = -11 + 11 + -2n Combine like terms: -11 + 11 = 0 0 = -11 + 11 + -2n Combine like terms: -11 + 11 = 0 0 = 0 + -2n 0 = -2n Solving 0 = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 0 + 2n = -2n + 2n Remove the zero: 2n = -2n + 2n Combine like terms: -2n + 2n = 0 2n = 0 Divide each side by '2'. n = 0 Simplifying n = 0
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