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Simplifying -7n + -13 = -5(4n + -7) + 4 Reorder the terms: -13 + -7n = -5(4n + -7) + 4 Reorder the terms: -13 + -7n = -5(-7 + 4n) + 4 -13 + -7n = (-7 * -5 + 4n * -5) + 4 -13 + -7n = (35 + -20n) + 4 Reorder the terms: -13 + -7n = 35 + 4 + -20n Combine like terms: 35 + 4 = 39 -13 + -7n = 39 + -20n Solving -13 + -7n = 39 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -13 + -7n + 20n = 39 + -20n + 20n Combine like terms: -7n + 20n = 13n -13 + 13n = 39 + -20n + 20n Combine like terms: -20n + 20n = 0 -13 + 13n = 39 + 0 -13 + 13n = 39 Add '13' to each side of the equation. -13 + 13 + 13n = 39 + 13 Combine like terms: -13 + 13 = 0 0 + 13n = 39 + 13 13n = 39 + 13 Combine like terms: 39 + 13 = 52 13n = 52 Divide each side by '13'. n = 4 Simplifying n = 4
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