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Simplifying 7 + -5(n + 2) + -2n = 2(5n + -1) + -1 Reorder the terms: 7 + -5(2 + n) + -2n = 2(5n + -1) + -1 7 + (2 * -5 + n * -5) + -2n = 2(5n + -1) + -1 7 + (-10 + -5n) + -2n = 2(5n + -1) + -1 Combine like terms: 7 + -10 = -3 -3 + -5n + -2n = 2(5n + -1) + -1 Combine like terms: -5n + -2n = -7n -3 + -7n = 2(5n + -1) + -1 Reorder the terms: -3 + -7n = 2(-1 + 5n) + -1 -3 + -7n = (-1 * 2 + 5n * 2) + -1 -3 + -7n = (-2 + 10n) + -1 Reorder the terms: -3 + -7n = -2 + -1 + 10n Combine like terms: -2 + -1 = -3 -3 + -7n = -3 + 10n Add '3' to each side of the equation. -3 + 3 + -7n = -3 + 3 + 10n Combine like terms: -3 + 3 = 0 0 + -7n = -3 + 3 + 10n -7n = -3 + 3 + 10n Combine like terms: -3 + 3 = 0 -7n = 0 + 10n -7n = 10n Solving -7n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -7n + -10n = 10n + -10n Combine like terms: -7n + -10n = -17n -17n = 10n + -10n Combine like terms: 10n + -10n = 0 -17n = 0 Divide each side by '-17'. n = 0 Simplifying n = 0
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