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Simplifying 5(10 + -1n) = -3n + -10 (10 * 5 + -1n * 5) = -3n + -10 (50 + -5n) = -3n + -10 Reorder the terms: 50 + -5n = -10 + -3n Solving 50 + -5n = -10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 50 + -5n + 3n = -10 + -3n + 3n Combine like terms: -5n + 3n = -2n 50 + -2n = -10 + -3n + 3n Combine like terms: -3n + 3n = 0 50 + -2n = -10 + 0 50 + -2n = -10 Add '-50' to each side of the equation. 50 + -50 + -2n = -10 + -50 Combine like terms: 50 + -50 = 0 0 + -2n = -10 + -50 -2n = -10 + -50 Combine like terms: -10 + -50 = -60 -2n = -60 Divide each side by '-2'. n = 30 Simplifying n = 30
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