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Simplifying 38 + -5n = 6(2n + -5) Reorder the terms: 38 + -5n = 6(-5 + 2n) 38 + -5n = (-5 * 6 + 2n * 6) 38 + -5n = (-30 + 12n) Solving 38 + -5n = -30 + 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 + -5n + -12n = -30 + 12n + -12n Combine like terms: -5n + -12n = -17n 38 + -17n = -30 + 12n + -12n Combine like terms: 12n + -12n = 0 38 + -17n = -30 + 0 38 + -17n = -30 Add '-38' to each side of the equation. 38 + -38 + -17n = -30 + -38 Combine like terms: 38 + -38 = 0 0 + -17n = -30 + -38 -17n = -30 + -38 Combine like terms: -30 + -38 = -68 -17n = -68 Divide each side by '-17'. n = 4 Simplifying n = 4
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