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Simplifying 2n + -38 = -8n + -4(-1 + -6n) Reorder the terms: -38 + 2n = -8n + -4(-1 + -6n) -38 + 2n = -8n + (-1 * -4 + -6n * -4) -38 + 2n = -8n + (4 + 24n) Reorder the terms: -38 + 2n = 4 + -8n + 24n Combine like terms: -8n + 24n = 16n -38 + 2n = 4 + 16n Solving -38 + 2n = 4 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -38 + 2n + -16n = 4 + 16n + -16n Combine like terms: 2n + -16n = -14n -38 + -14n = 4 + 16n + -16n Combine like terms: 16n + -16n = 0 -38 + -14n = 4 + 0 -38 + -14n = 4 Add '38' to each side of the equation. -38 + 38 + -14n = 4 + 38 Combine like terms: -38 + 38 = 0 0 + -14n = 4 + 38 -14n = 4 + 38 Combine like terms: 4 + 38 = 42 -14n = 42 Divide each side by '-14'. n = -3 Simplifying n = -3
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