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Simplifying -7(6 + -5n) = -3(-5n + 8) + -2n (6 * -7 + -5n * -7) = -3(-5n + 8) + -2n (-42 + 35n) = -3(-5n + 8) + -2n Reorder the terms: -42 + 35n = -3(8 + -5n) + -2n -42 + 35n = (8 * -3 + -5n * -3) + -2n -42 + 35n = (-24 + 15n) + -2n Combine like terms: 15n + -2n = 13n -42 + 35n = -24 + 13n Solving -42 + 35n = -24 + 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. -42 + 35n + -13n = -24 + 13n + -13n Combine like terms: 35n + -13n = 22n -42 + 22n = -24 + 13n + -13n Combine like terms: 13n + -13n = 0 -42 + 22n = -24 + 0 -42 + 22n = -24 Add '42' to each side of the equation. -42 + 42 + 22n = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 22n = -24 + 42 22n = -24 + 42 Combine like terms: -24 + 42 = 18 22n = 18 Divide each side by '22'. n = 0.8181818182 Simplifying n = 0.8181818182
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