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Simplifying n + -11 = -5(5 + 10n) + -5(1 + -5n) Reorder the terms: -11 + n = -5(5 + 10n) + -5(1 + -5n) -11 + n = (5 * -5 + 10n * -5) + -5(1 + -5n) -11 + n = (-25 + -50n) + -5(1 + -5n) -11 + n = -25 + -50n + (1 * -5 + -5n * -5) -11 + n = -25 + -50n + (-5 + 25n) Reorder the terms: -11 + n = -25 + -5 + -50n + 25n Combine like terms: -25 + -5 = -30 -11 + n = -30 + -50n + 25n Combine like terms: -50n + 25n = -25n -11 + n = -30 + -25n Solving -11 + n = -30 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -11 + n + 25n = -30 + -25n + 25n Combine like terms: n + 25n = 26n -11 + 26n = -30 + -25n + 25n Combine like terms: -25n + 25n = 0 -11 + 26n = -30 + 0 -11 + 26n = -30 Add '11' to each side of the equation. -11 + 11 + 26n = -30 + 11 Combine like terms: -11 + 11 = 0 0 + 26n = -30 + 11 26n = -30 + 11 Combine like terms: -30 + 11 = -19 26n = -19 Divide each side by '26'. n = -0.7307692308 Simplifying n = -0.7307692308
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