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Simplifying 3n + 182 = 10n + -7 Reorder the terms: 182 + 3n = 10n + -7 Reorder the terms: 182 + 3n = -7 + 10n Solving 182 + 3n = -7 + 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. 182 + 3n + -10n = -7 + 10n + -10n Combine like terms: 3n + -10n = -7n 182 + -7n = -7 + 10n + -10n Combine like terms: 10n + -10n = 0 182 + -7n = -7 + 0 182 + -7n = -7 Add '-182' to each side of the equation. 182 + -182 + -7n = -7 + -182 Combine like terms: 182 + -182 = 0 0 + -7n = -7 + -182 -7n = -7 + -182 Combine like terms: -7 + -182 = -189 -7n = -189 Divide each side by '-7'. n = 27 Simplifying n = 27
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