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Simplifying 6 = -3(-7 + 3n) + -6(6n + -5) 6 = (-7 * -3 + 3n * -3) + -6(6n + -5) 6 = (21 + -9n) + -6(6n + -5) Reorder the terms: 6 = 21 + -9n + -6(-5 + 6n) 6 = 21 + -9n + (-5 * -6 + 6n * -6) 6 = 21 + -9n + (30 + -36n) Reorder the terms: 6 = 21 + 30 + -9n + -36n Combine like terms: 21 + 30 = 51 6 = 51 + -9n + -36n Combine like terms: -9n + -36n = -45n 6 = 51 + -45n Solving 6 = 51 + -45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '45n' to each side of the equation. 6 + 45n = 51 + -45n + 45n Combine like terms: -45n + 45n = 0 6 + 45n = 51 + 0 6 + 45n = 51 Add '-6' to each side of the equation. 6 + -6 + 45n = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 45n = 51 + -6 45n = 51 + -6 Combine like terms: 51 + -6 = 45 45n = 45 Divide each side by '45'. n = 1 Simplifying n = 1
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