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Simplifying 2(-1 + -3n) + -5n = -1n + -4(-3 + 6n) (-1 * 2 + -3n * 2) + -5n = -1n + -4(-3 + 6n) (-2 + -6n) + -5n = -1n + -4(-3 + 6n) Combine like terms: -6n + -5n = -11n -2 + -11n = -1n + -4(-3 + 6n) -2 + -11n = -1n + (-3 * -4 + 6n * -4) -2 + -11n = -1n + (12 + -24n) Reorder the terms: -2 + -11n = 12 + -1n + -24n Combine like terms: -1n + -24n = -25n -2 + -11n = 12 + -25n Solving -2 + -11n = 12 + -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. -2 + -11n + 25n = 12 + -25n + 25n Combine like terms: -11n + 25n = 14n -2 + 14n = 12 + -25n + 25n Combine like terms: -25n + 25n = 0 -2 + 14n = 12 + 0 -2 + 14n = 12 Add '2' to each side of the equation. -2 + 2 + 14n = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14n = 12 + 2 14n = 12 + 2 Combine like terms: 12 + 2 = 14 14n = 14 Divide each side by '14'. n = 1 Simplifying n = 1
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