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Simplifying -23 + 7n = -5(-4n + 2) Reorder the terms: -23 + 7n = -5(2 + -4n) -23 + 7n = (2 * -5 + -4n * -5) -23 + 7n = (-10 + 20n) Solving -23 + 7n = -10 + 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. -23 + 7n + -20n = -10 + 20n + -20n Combine like terms: 7n + -20n = -13n -23 + -13n = -10 + 20n + -20n Combine like terms: 20n + -20n = 0 -23 + -13n = -10 + 0 -23 + -13n = -10 Add '23' to each side of the equation. -23 + 23 + -13n = -10 + 23 Combine like terms: -23 + 23 = 0 0 + -13n = -10 + 23 -13n = -10 + 23 Combine like terms: -10 + 23 = 13 -13n = 13 Divide each side by '-13'. n = -1 Simplifying n = -1
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