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Simplifying -13n + -53 = -2(2n + -14) Reorder the terms: -53 + -13n = -2(2n + -14) Reorder the terms: -53 + -13n = -2(-14 + 2n) -53 + -13n = (-14 * -2 + 2n * -2) -53 + -13n = (28 + -4n) Solving -53 + -13n = 28 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -53 + -13n + 4n = 28 + -4n + 4n Combine like terms: -13n + 4n = -9n -53 + -9n = 28 + -4n + 4n Combine like terms: -4n + 4n = 0 -53 + -9n = 28 + 0 -53 + -9n = 28 Add '53' to each side of the equation. -53 + 53 + -9n = 28 + 53 Combine like terms: -53 + 53 = 0 0 + -9n = 28 + 53 -9n = 28 + 53 Combine like terms: 28 + 53 = 81 -9n = 81 Divide each side by '-9'. n = -9 Simplifying n = -9
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