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Simplifying 8(4n + -1) + -12n = 11(2n + -6) Reorder the terms: 8(-1 + 4n) + -12n = 11(2n + -6) (-1 * 8 + 4n * 8) + -12n = 11(2n + -6) (-8 + 32n) + -12n = 11(2n + -6) Combine like terms: 32n + -12n = 20n -8 + 20n = 11(2n + -6) Reorder the terms: -8 + 20n = 11(-6 + 2n) -8 + 20n = (-6 * 11 + 2n * 11) -8 + 20n = (-66 + 22n) Solving -8 + 20n = -66 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. -8 + 20n + -22n = -66 + 22n + -22n Combine like terms: 20n + -22n = -2n -8 + -2n = -66 + 22n + -22n Combine like terms: 22n + -22n = 0 -8 + -2n = -66 + 0 -8 + -2n = -66 Add '8' to each side of the equation. -8 + 8 + -2n = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = -66 + 8 -2n = -66 + 8 Combine like terms: -66 + 8 = -58 -2n = -58 Divide each side by '-2'. n = 29 Simplifying n = 29
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