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Simplifying -7(3 + 2n) = -7(n + -8) (3 * -7 + 2n * -7) = -7(n + -8) (-21 + -14n) = -7(n + -8) Reorder the terms: -21 + -14n = -7(-8 + n) -21 + -14n = (-8 * -7 + n * -7) -21 + -14n = (56 + -7n) Solving -21 + -14n = 56 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -21 + -14n + 7n = 56 + -7n + 7n Combine like terms: -14n + 7n = -7n -21 + -7n = 56 + -7n + 7n Combine like terms: -7n + 7n = 0 -21 + -7n = 56 + 0 -21 + -7n = 56 Add '21' to each side of the equation. -21 + 21 + -7n = 56 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 56 + 21 -7n = 56 + 21 Combine like terms: 56 + 21 = 77 -7n = 77 Divide each side by '-7'. n = -11 Simplifying n = -11
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