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Simplifying 0 = -7(n + -5) + 3(n + 1) Reorder the terms: 0 = -7(-5 + n) + 3(n + 1) 0 = (-5 * -7 + n * -7) + 3(n + 1) 0 = (35 + -7n) + 3(n + 1) Reorder the terms: 0 = 35 + -7n + 3(1 + n) 0 = 35 + -7n + (1 * 3 + n * 3) 0 = 35 + -7n + (3 + 3n) Reorder the terms: 0 = 35 + 3 + -7n + 3n Combine like terms: 35 + 3 = 38 0 = 38 + -7n + 3n Combine like terms: -7n + 3n = -4n 0 = 38 + -4n Solving 0 = 38 + -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. 0 + 4n = 38 + -4n + 4n Remove the zero: 4n = 38 + -4n + 4n Combine like terms: -4n + 4n = 0 4n = 38 + 0 4n = 38 Divide each side by '4'. n = 9.5 Simplifying n = 9.5
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