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Simplifying 5(2n + -2) + -11n = 2n + -1 Reorder the terms: 5(-2 + 2n) + -11n = 2n + -1 (-2 * 5 + 2n * 5) + -11n = 2n + -1 (-10 + 10n) + -11n = 2n + -1 Combine like terms: 10n + -11n = -1n -10 + -1n = 2n + -1 Reorder the terms: -10 + -1n = -1 + 2n Solving -10 + -1n = -1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -10 + -1n + -2n = -1 + 2n + -2n Combine like terms: -1n + -2n = -3n -10 + -3n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + -3n = -1 + 0 -10 + -3n = -1 Add '10' to each side of the equation. -10 + 10 + -3n = -1 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = -1 + 10 -3n = -1 + 10 Combine like terms: -1 + 10 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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