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Simplifying 12n + -12 = 10 + -1(n + 3) Reorder the terms: -12 + 12n = 10 + -1(n + 3) Reorder the terms: -12 + 12n = 10 + -1(3 + n) -12 + 12n = 10 + (3 * -1 + n * -1) -12 + 12n = 10 + (-3 + -1n) Combine like terms: 10 + -3 = 7 -12 + 12n = 7 + -1n Solving -12 + 12n = 7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12 + 12n + n = 7 + -1n + n Combine like terms: 12n + n = 13n -12 + 13n = 7 + -1n + n Combine like terms: -1n + n = 0 -12 + 13n = 7 + 0 -12 + 13n = 7 Add '12' to each side of the equation. -12 + 12 + 13n = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 13n = 7 + 12 13n = 7 + 12 Combine like terms: 7 + 12 = 19 13n = 19 Divide each side by '13'. n = 1.461538462 Simplifying n = 1.461538462
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