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