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Simplifying 47 + 11n = -2(1 + -9n) 47 + 11n = (1 * -2 + -9n * -2) 47 + 11n = (-2 + 18n) Solving 47 + 11n = -2 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 47 + 11n + -18n = -2 + 18n + -18n Combine like terms: 11n + -18n = -7n 47 + -7n = -2 + 18n + -18n Combine like terms: 18n + -18n = 0 47 + -7n = -2 + 0 47 + -7n = -2 Add '-47' to each side of the equation. 47 + -47 + -7n = -2 + -47 Combine like terms: 47 + -47 = 0 0 + -7n = -2 + -47 -7n = -2 + -47 Combine like terms: -2 + -47 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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