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Simplifying 7n + -2(n + 5) = 3n + -16 Reorder the terms: 7n + -2(5 + n) = 3n + -16 7n + (5 * -2 + n * -2) = 3n + -16 7n + (-10 + -2n) = 3n + -16 Reorder the terms: -10 + 7n + -2n = 3n + -16 Combine like terms: 7n + -2n = 5n -10 + 5n = 3n + -16 Reorder the terms: -10 + 5n = -16 + 3n Solving -10 + 5n = -16 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -10 + 5n + -3n = -16 + 3n + -3n Combine like terms: 5n + -3n = 2n -10 + 2n = -16 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 2n = -16 + 0 -10 + 2n = -16 Add '10' to each side of the equation. -10 + 10 + 2n = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = -16 + 10 2n = -16 + 10 Combine like terms: -16 + 10 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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