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Simplifying -7n + -20 = -8(2n + 7) Reorder the terms: -20 + -7n = -8(2n + 7) Reorder the terms: -20 + -7n = -8(7 + 2n) -20 + -7n = (7 * -8 + 2n * -8) -20 + -7n = (-56 + -16n) Solving -20 + -7n = -56 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -20 + -7n + 16n = -56 + -16n + 16n Combine like terms: -7n + 16n = 9n -20 + 9n = -56 + -16n + 16n Combine like terms: -16n + 16n = 0 -20 + 9n = -56 + 0 -20 + 9n = -56 Add '20' to each side of the equation. -20 + 20 + 9n = -56 + 20 Combine like terms: -20 + 20 = 0 0 + 9n = -56 + 20 9n = -56 + 20 Combine like terms: -56 + 20 = -36 9n = -36 Divide each side by '9'. n = -4 Simplifying n = -4
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