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Simplifying -13n + -53 = -2(2n + 4) Reorder the terms: -53 + -13n = -2(2n + 4) Reorder the terms: -53 + -13n = -2(4 + 2n) -53 + -13n = (4 * -2 + 2n * -2) -53 + -13n = (-8 + -4n) Solving -53 + -13n = -8 + -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 = -8 + -4n + 4n Combine like terms: -13n + 4n = -9n -53 + -9n = -8 + -4n + 4n Combine like terms: -4n + 4n = 0 -53 + -9n = -8 + 0 -53 + -9n = -8 Add '53' to each side of the equation. -53 + 53 + -9n = -8 + 53 Combine like terms: -53 + 53 = 0 0 + -9n = -8 + 53 -9n = -8 + 53 Combine like terms: -8 + 53 = 45 -9n = 45 Divide each side by '-9'. n = -5 Simplifying n = -5
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