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Simplifying 6(2n + -5) = -3(7 + -3n) + 3 Reorder the terms: 6(-5 + 2n) = -3(7 + -3n) + 3 (-5 * 6 + 2n * 6) = -3(7 + -3n) + 3 (-30 + 12n) = -3(7 + -3n) + 3 -30 + 12n = (7 * -3 + -3n * -3) + 3 -30 + 12n = (-21 + 9n) + 3 Reorder the terms: -30 + 12n = -21 + 3 + 9n Combine like terms: -21 + 3 = -18 -30 + 12n = -18 + 9n Solving -30 + 12n = -18 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -30 + 12n + -9n = -18 + 9n + -9n Combine like terms: 12n + -9n = 3n -30 + 3n = -18 + 9n + -9n Combine like terms: 9n + -9n = 0 -30 + 3n = -18 + 0 -30 + 3n = -18 Add '30' to each side of the equation. -30 + 30 + 3n = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 3n = -18 + 30 3n = -18 + 30 Combine like terms: -18 + 30 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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