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Simplifying 10 + -7n = -2(5n + 7) Reorder the terms: 10 + -7n = -2(7 + 5n) 10 + -7n = (7 * -2 + 5n * -2) 10 + -7n = (-14 + -10n) Solving 10 + -7n = -14 + -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. 10 + -7n + 10n = -14 + -10n + 10n Combine like terms: -7n + 10n = 3n 10 + 3n = -14 + -10n + 10n Combine like terms: -10n + 10n = 0 10 + 3n = -14 + 0 10 + 3n = -14 Add '-10' to each side of the equation. 10 + -10 + 3n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = -14 + -10 3n = -14 + -10 Combine like terms: -14 + -10 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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