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Simplifying 3(1 + -5n) = -23 + -2n (1 * 3 + -5n * 3) = -23 + -2n (3 + -15n) = -23 + -2n Solving 3 + -15n = -23 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 3 + -15n + 2n = -23 + -2n + 2n Combine like terms: -15n + 2n = -13n 3 + -13n = -23 + -2n + 2n Combine like terms: -2n + 2n = 0 3 + -13n = -23 + 0 3 + -13n = -23 Add '-3' to each side of the equation. 3 + -3 + -13n = -23 + -3 Combine like terms: 3 + -3 = 0 0 + -13n = -23 + -3 -13n = -23 + -3 Combine like terms: -23 + -3 = -26 -13n = -26 Divide each side by '-13'. n = 2 Simplifying n = 2
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