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Simplifying 7n + -23 = -4(-4 + -5n) Reorder the terms: -23 + 7n = -4(-4 + -5n) -23 + 7n = (-4 * -4 + -5n * -4) -23 + 7n = (16 + 20n) Solving -23 + 7n = 16 + 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 = 16 + 20n + -20n Combine like terms: 7n + -20n = -13n -23 + -13n = 16 + 20n + -20n Combine like terms: 20n + -20n = 0 -23 + -13n = 16 + 0 -23 + -13n = 16 Add '23' to each side of the equation. -23 + 23 + -13n = 16 + 23 Combine like terms: -23 + 23 = 0 0 + -13n = 16 + 23 -13n = 16 + 23 Combine like terms: 16 + 23 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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