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Simplifying -53 = -8(-3n + -4) + -1(1 + 3n) Reorder the terms: -53 = -8(-4 + -3n) + -1(1 + 3n) -53 = (-4 * -8 + -3n * -8) + -1(1 + 3n) -53 = (32 + 24n) + -1(1 + 3n) -53 = 32 + 24n + (1 * -1 + 3n * -1) -53 = 32 + 24n + (-1 + -3n) Reorder the terms: -53 = 32 + -1 + 24n + -3n Combine like terms: 32 + -1 = 31 -53 = 31 + 24n + -3n Combine like terms: 24n + -3n = 21n -53 = 31 + 21n Solving -53 = 31 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -53 + -21n = 31 + 21n + -21n Combine like terms: 21n + -21n = 0 -53 + -21n = 31 + 0 -53 + -21n = 31 Add '53' to each side of the equation. -53 + 53 + -21n = 31 + 53 Combine like terms: -53 + 53 = 0 0 + -21n = 31 + 53 -21n = 31 + 53 Combine like terms: 31 + 53 = 84 -21n = 84 Divide each side by '-21'. n = -4 Simplifying n = -4
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