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Simplifying 53 + 12n = 7(5 + -3n) 53 + 12n = (5 * 7 + -3n * 7) 53 + 12n = (35 + -21n) Solving 53 + 12n = 35 + -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 + 12n + 21n = 35 + -21n + 21n Combine like terms: 12n + 21n = 33n 53 + 33n = 35 + -21n + 21n Combine like terms: -21n + 21n = 0 53 + 33n = 35 + 0 53 + 33n = 35 Add '-53' to each side of the equation. 53 + -53 + 33n = 35 + -53 Combine like terms: 53 + -53 = 0 0 + 33n = 35 + -53 33n = 35 + -53 Combine like terms: 35 + -53 = -18 33n = -18 Divide each side by '33'. n = -0.5454545455 Simplifying n = -0.5454545455
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