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Simplifying 5n + -38 = 6(n + -5) + 3n Reorder the terms: -38 + 5n = 6(n + -5) + 3n Reorder the terms: -38 + 5n = 6(-5 + n) + 3n -38 + 5n = (-5 * 6 + n * 6) + 3n -38 + 5n = (-30 + 6n) + 3n Combine like terms: 6n + 3n = 9n -38 + 5n = -30 + 9n Solving -38 + 5n = -30 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -38 + 5n + -9n = -30 + 9n + -9n Combine like terms: 5n + -9n = -4n -38 + -4n = -30 + 9n + -9n Combine like terms: 9n + -9n = 0 -38 + -4n = -30 + 0 -38 + -4n = -30 Add '38' to each side of the equation. -38 + 38 + -4n = -30 + 38 Combine like terms: -38 + 38 = 0 0 + -4n = -30 + 38 -4n = -30 + 38 Combine like terms: -30 + 38 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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