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Simplifying 5n + -2(n + 1) + 7 = -10 Reorder the terms: 5n + -2(1 + n) + 7 = -10 5n + (1 * -2 + n * -2) + 7 = -10 5n + (-2 + -2n) + 7 = -10 Reorder the terms: -2 + 7 + 5n + -2n = -10 Combine like terms: -2 + 7 = 5 5 + 5n + -2n = -10 Combine like terms: 5n + -2n = 3n 5 + 3n = -10 Solving 5 + 3n = -10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3n = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = -10 + -5 3n = -10 + -5 Combine like terms: -10 + -5 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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