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Simplifying 11n + -11 = 11 + 12(n + 3) Reorder the terms: -11 + 11n = 11 + 12(n + 3) Reorder the terms: -11 + 11n = 11 + 12(3 + n) -11 + 11n = 11 + (3 * 12 + n * 12) -11 + 11n = 11 + (36 + 12n) Combine like terms: 11 + 36 = 47 -11 + 11n = 47 + 12n Solving -11 + 11n = 47 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -11 + 11n + -12n = 47 + 12n + -12n Combine like terms: 11n + -12n = -1n -11 + -1n = 47 + 12n + -12n Combine like terms: 12n + -12n = 0 -11 + -1n = 47 + 0 -11 + -1n = 47 Add '11' to each side of the equation. -11 + 11 + -1n = 47 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = 47 + 11 -1n = 47 + 11 Combine like terms: 47 + 11 = 58 -1n = 58 Divide each side by '-1'. n = -58 Simplifying n = -58
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