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Simplifying 59 = -7(-3 + 2n) + -6(n + -3) 59 = (-3 * -7 + 2n * -7) + -6(n + -3) 59 = (21 + -14n) + -6(n + -3) Reorder the terms: 59 = 21 + -14n + -6(-3 + n) 59 = 21 + -14n + (-3 * -6 + n * -6) 59 = 21 + -14n + (18 + -6n) Reorder the terms: 59 = 21 + 18 + -14n + -6n Combine like terms: 21 + 18 = 39 59 = 39 + -14n + -6n Combine like terms: -14n + -6n = -20n 59 = 39 + -20n Solving 59 = 39 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 59 + 20n = 39 + -20n + 20n Combine like terms: -20n + 20n = 0 59 + 20n = 39 + 0 59 + 20n = 39 Add '-59' to each side of the equation. 59 + -59 + 20n = 39 + -59 Combine like terms: 59 + -59 = 0 0 + 20n = 39 + -59 20n = 39 + -59 Combine like terms: 39 + -59 = -20 20n = -20 Divide each side by '20'. n = -1 Simplifying n = -1
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