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Simplifying -4(4n + 5) = -7n + -23 Reorder the terms: -4(5 + 4n) = -7n + -23 (5 * -4 + 4n * -4) = -7n + -23 (-20 + -16n) = -7n + -23 Reorder the terms: -20 + -16n = -23 + -7n Solving -20 + -16n = -23 + -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. -20 + -16n + 7n = -23 + -7n + 7n Combine like terms: -16n + 7n = -9n -20 + -9n = -23 + -7n + 7n Combine like terms: -7n + 7n = 0 -20 + -9n = -23 + 0 -20 + -9n = -23 Add '20' to each side of the equation. -20 + 20 + -9n = -23 + 20 Combine like terms: -20 + 20 = 0 0 + -9n = -23 + 20 -9n = -23 + 20 Combine like terms: -23 + 20 = -3 -9n = -3 Divide each side by '-9'. n = 0.3333333333 Simplifying n = 0.3333333333
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