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Simplifying 10 + 3(5n + -2) = 13n Reorder the terms: 10 + 3(-2 + 5n) = 13n 10 + (-2 * 3 + 5n * 3) = 13n 10 + (-6 + 15n) = 13n Combine like terms: 10 + -6 = 4 4 + 15n = 13n Solving 4 + 15n = 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 4 + 15n + -13n = 13n + -13n Combine like terms: 15n + -13n = 2n 4 + 2n = 13n + -13n Combine like terms: 13n + -13n = 0 4 + 2n = 0 Add '-4' to each side of the equation. 4 + -4 + 2n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 0 + -4 2n = 0 + -4 Combine like terms: 0 + -4 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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