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Simplifying 11(n + -10) + 12n = -6(n + -1) Reorder the terms: 11(-10 + n) + 12n = -6(n + -1) (-10 * 11 + n * 11) + 12n = -6(n + -1) (-110 + 11n) + 12n = -6(n + -1) Combine like terms: 11n + 12n = 23n -110 + 23n = -6(n + -1) Reorder the terms: -110 + 23n = -6(-1 + n) -110 + 23n = (-1 * -6 + n * -6) -110 + 23n = (6 + -6n) Solving -110 + 23n = 6 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -110 + 23n + 6n = 6 + -6n + 6n Combine like terms: 23n + 6n = 29n -110 + 29n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 -110 + 29n = 6 + 0 -110 + 29n = 6 Add '110' to each side of the equation. -110 + 110 + 29n = 6 + 110 Combine like terms: -110 + 110 = 0 0 + 29n = 6 + 110 29n = 6 + 110 Combine like terms: 6 + 110 = 116 29n = 116 Divide each side by '29'. n = 4 Simplifying n = 4
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