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Simplifying -38 + -6n = -5(4 + 3n) -38 + -6n = (4 * -5 + 3n * -5) -38 + -6n = (-20 + -15n) Solving -38 + -6n = -20 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -38 + -6n + 15n = -20 + -15n + 15n Combine like terms: -6n + 15n = 9n -38 + 9n = -20 + -15n + 15n Combine like terms: -15n + 15n = 0 -38 + 9n = -20 + 0 -38 + 9n = -20 Add '38' to each side of the equation. -38 + 38 + 9n = -20 + 38 Combine like terms: -38 + 38 = 0 0 + 9n = -20 + 38 9n = -20 + 38 Combine like terms: -20 + 38 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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