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Simplifying n + -7 = 3n + 7n + 2 Reorder the terms: -7 + n = 3n + 7n + 2 Reorder the terms: -7 + n = 2 + 3n + 7n Combine like terms: 3n + 7n = 10n -7 + n = 2 + 10n Solving -7 + n = 2 + 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. -7 + n + -10n = 2 + 10n + -10n Combine like terms: n + -10n = -9n -7 + -9n = 2 + 10n + -10n Combine like terms: 10n + -10n = 0 -7 + -9n = 2 + 0 -7 + -9n = 2 Add '7' to each side of the equation. -7 + 7 + -9n = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9n = 2 + 7 -9n = 2 + 7 Combine like terms: 2 + 7 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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