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Simplifying -50 + 5n = 4(9n + 3) Reorder the terms: -50 + 5n = 4(3 + 9n) -50 + 5n = (3 * 4 + 9n * 4) -50 + 5n = (12 + 36n) Solving -50 + 5n = 12 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -50 + 5n + -36n = 12 + 36n + -36n Combine like terms: 5n + -36n = -31n -50 + -31n = 12 + 36n + -36n Combine like terms: 36n + -36n = 0 -50 + -31n = 12 + 0 -50 + -31n = 12 Add '50' to each side of the equation. -50 + 50 + -31n = 12 + 50 Combine like terms: -50 + 50 = 0 0 + -31n = 12 + 50 -31n = 12 + 50 Combine like terms: 12 + 50 = 62 -31n = 62 Divide each side by '-31'. n = -2 Simplifying n = -2
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