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Simplifying 7n + -10 = 6 + n(5 + -2) Reorder the terms: -10 + 7n = 6 + n(5 + -2) Combine like terms: 5 + -2 = 3 -10 + 7n = 6 + n(3) Reorder the terms for easier multiplication: -10 + 7n = 6 + 3n Solving -10 + 7n = 6 + 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. -10 + 7n + -3n = 6 + 3n + -3n Combine like terms: 7n + -3n = 4n -10 + 4n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 4n = 6 + 0 -10 + 4n = 6 Add '10' to each side of the equation. -10 + 10 + 4n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = 6 + 10 4n = 6 + 10 Combine like terms: 6 + 10 = 16 4n = 16 Divide each side by '4'. n = 4 Simplifying n = 4
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