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Simplifying 6(2n + -8) + 1 = -12 + 11(n + -2) Reorder the terms: 6(-8 + 2n) + 1 = -12 + 11(n + -2) (-8 * 6 + 2n * 6) + 1 = -12 + 11(n + -2) (-48 + 12n) + 1 = -12 + 11(n + -2) Reorder the terms: -48 + 1 + 12n = -12 + 11(n + -2) Combine like terms: -48 + 1 = -47 -47 + 12n = -12 + 11(n + -2) Reorder the terms: -47 + 12n = -12 + 11(-2 + n) -47 + 12n = -12 + (-2 * 11 + n * 11) -47 + 12n = -12 + (-22 + 11n) Combine like terms: -12 + -22 = -34 -47 + 12n = -34 + 11n Solving -47 + 12n = -34 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -47 + 12n + -11n = -34 + 11n + -11n Combine like terms: 12n + -11n = 1n -47 + 1n = -34 + 11n + -11n Combine like terms: 11n + -11n = 0 -47 + 1n = -34 + 0 -47 + 1n = -34 Add '47' to each side of the equation. -47 + 47 + 1n = -34 + 47 Combine like terms: -47 + 47 = 0 0 + 1n = -34 + 47 1n = -34 + 47 Combine like terms: -34 + 47 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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