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Simplifying 3(3n + -7) = 6(2n + 5) Reorder the terms: 3(-7 + 3n) = 6(2n + 5) (-7 * 3 + 3n * 3) = 6(2n + 5) (-21 + 9n) = 6(2n + 5) Reorder the terms: -21 + 9n = 6(5 + 2n) -21 + 9n = (5 * 6 + 2n * 6) -21 + 9n = (30 + 12n) Solving -21 + 9n = 30 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -21 + 9n + -12n = 30 + 12n + -12n Combine like terms: 9n + -12n = -3n -21 + -3n = 30 + 12n + -12n Combine like terms: 12n + -12n = 0 -21 + -3n = 30 + 0 -21 + -3n = 30 Add '21' to each side of the equation. -21 + 21 + -3n = 30 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = 30 + 21 -3n = 30 + 21 Combine like terms: 30 + 21 = 51 -3n = 51 Divide each side by '-3'. n = -17 Simplifying n = -17
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