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Simplifying 7n + 8 = 10n + -18 Reorder the terms: 8 + 7n = 10n + -18 Reorder the terms: 8 + 7n = -18 + 10n Solving 8 + 7n = -18 + 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. 8 + 7n + -10n = -18 + 10n + -10n Combine like terms: 7n + -10n = -3n 8 + -3n = -18 + 10n + -10n Combine like terms: 10n + -10n = 0 8 + -3n = -18 + 0 8 + -3n = -18 Add '-8' to each side of the equation. 8 + -8 + -3n = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = -18 + -8 -3n = -18 + -8 Combine like terms: -18 + -8 = -26 -3n = -26 Divide each side by '-3'. n = 8.666666667 Simplifying n = 8.666666667
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