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Simplifying 1 + -7n = n + 5 + 2n + 16 Reorder the terms: 1 + -7n = 5 + 16 + n + 2n Combine like terms: 5 + 16 = 21 1 + -7n = 21 + n + 2n Combine like terms: n + 2n = 3n 1 + -7n = 21 + 3n Solving 1 + -7n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 1 + -7n + -3n = 21 + 3n + -3n Combine like terms: -7n + -3n = -10n 1 + -10n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 1 + -10n = 21 + 0 1 + -10n = 21 Add '-1' to each side of the equation. 1 + -1 + -10n = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -10n = 21 + -1 -10n = 21 + -1 Combine like terms: 21 + -1 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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