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Simplifying n + 2 = -10 + 10n + -6 Reorder the terms: 2 + n = -10 + 10n + -6 Reorder the terms: 2 + n = -10 + -6 + 10n Combine like terms: -10 + -6 = -16 2 + n = -16 + 10n Solving 2 + n = -16 + 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. 2 + n + -10n = -16 + 10n + -10n Combine like terms: n + -10n = -9n 2 + -9n = -16 + 10n + -10n Combine like terms: 10n + -10n = 0 2 + -9n = -16 + 0 2 + -9n = -16 Add '-2' to each side of the equation. 2 + -2 + -9n = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -9n = -16 + -2 -9n = -16 + -2 Combine like terms: -16 + -2 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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