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Simplifying 7n + -1 = 9 + 10n + -12 Reorder the terms: -1 + 7n = 9 + 10n + -12 Reorder the terms: -1 + 7n = 9 + -12 + 10n Combine like terms: 9 + -12 = -3 -1 + 7n = -3 + 10n Solving -1 + 7n = -3 + 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. -1 + 7n + -10n = -3 + 10n + -10n Combine like terms: 7n + -10n = -3n -1 + -3n = -3 + 10n + -10n Combine like terms: 10n + -10n = 0 -1 + -3n = -3 + 0 -1 + -3n = -3 Add '1' to each side of the equation. -1 + 1 + -3n = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -3n = -3 + 1 -3n = -3 + 1 Combine like terms: -3 + 1 = -2 -3n = -2 Divide each side by '-3'. n = 0.6666666667 Simplifying n = 0.6666666667
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