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Simplifying -7(2 + 3n) + 7 = -7 + -3(4n + -3) (2 * -7 + 3n * -7) + 7 = -7 + -3(4n + -3) (-14 + -21n) + 7 = -7 + -3(4n + -3) Reorder the terms: -14 + 7 + -21n = -7 + -3(4n + -3) Combine like terms: -14 + 7 = -7 -7 + -21n = -7 + -3(4n + -3) Reorder the terms: -7 + -21n = -7 + -3(-3 + 4n) -7 + -21n = -7 + (-3 * -3 + 4n * -3) -7 + -21n = -7 + (9 + -12n) Combine like terms: -7 + 9 = 2 -7 + -21n = 2 + -12n Solving -7 + -21n = 2 + -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. -7 + -21n + 12n = 2 + -12n + 12n Combine like terms: -21n + 12n = -9n -7 + -9n = 2 + -12n + 12n Combine like terms: -12n + 12n = 0 -7 + -9n = 2 + 0 -7 + -9n = 2 Add '7' to each side of the equation. -7 + 7 + -9n = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9n = 2 + 7 -9n = 2 + 7 Combine like terms: 2 + 7 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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