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Simplifying 6n + -38 = 2(-4 + 6n) Reorder the terms: -38 + 6n = 2(-4 + 6n) -38 + 6n = (-4 * 2 + 6n * 2) -38 + 6n = (-8 + 12n) Solving -38 + 6n = -8 + 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 = -8 + 12n + -12n Combine like terms: 6n + -12n = -6n -38 + -6n = -8 + 12n + -12n Combine like terms: 12n + -12n = 0 -38 + -6n = -8 + 0 -38 + -6n = -8 Add '38' to each side of the equation. -38 + 38 + -6n = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -6n = -8 + 38 -6n = -8 + 38 Combine like terms: -8 + 38 = 30 -6n = 30 Divide each side by '-6'. n = -5 Simplifying n = -5
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