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Simplifying 6n + -38 = -2(1 + -6n) Reorder the terms: -38 + 6n = -2(1 + -6n) -38 + 6n = (1 * -2 + -6n * -2) -38 + 6n = (-2 + 12n) Solving -38 + 6n = -2 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -38 + 6n + -12n = -2 + 12n + -12n Combine like terms: 6n + -12n = -6n -38 + -6n = -2 + 12n + -12n Combine like terms: 12n + -12n = 0 -38 + -6n = -2 + 0 -38 + -6n = -2 Add '38' to each side of the equation. -38 + 38 + -6n = -2 + 38 Combine like terms: -38 + 38 = 0 0 + -6n = -2 + 38 -6n = -2 + 38 Combine like terms: -2 + 38 = 36 -6n = 36 Divide each side by '-6'. n = -6 Simplifying n = -6
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