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Simplifying 12n + -1(n + 3) = -11 + 2(r + -5) Reorder the terms: 12n + -1(3 + n) = -11 + 2(r + -5) 12n + (3 * -1 + n * -1) = -11 + 2(r + -5) 12n + (-3 + -1n) = -11 + 2(r + -5) Reorder the terms: -3 + 12n + -1n = -11 + 2(r + -5) Combine like terms: 12n + -1n = 11n -3 + 11n = -11 + 2(r + -5) Reorder the terms: -3 + 11n = -11 + 2(-5 + r) -3 + 11n = -11 + (-5 * 2 + r * 2) -3 + 11n = -11 + (-10 + 2r) Combine like terms: -11 + -10 = -21 -3 + 11n = -21 + 2r Solving -3 + 11n = -21 + 2r Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 11n = -21 + 3 + 2r Combine like terms: -3 + 3 = 0 0 + 11n = -21 + 3 + 2r 11n = -21 + 3 + 2r Combine like terms: -21 + 3 = -18 11n = -18 + 2r Divide each side by '11'. n = -1.636363636 + 0.1818181818r Simplifying n = -1.636363636 + 0.1818181818r
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