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Simplifying 6(n + -4) + 1 = 3n + 7 Reorder the terms: 6(-4 + n) + 1 = 3n + 7 (-4 * 6 + n * 6) + 1 = 3n + 7 (-24 + 6n) + 1 = 3n + 7 Reorder the terms: -24 + 1 + 6n = 3n + 7 Combine like terms: -24 + 1 = -23 -23 + 6n = 3n + 7 Reorder the terms: -23 + 6n = 7 + 3n Solving -23 + 6n = 7 + 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. -23 + 6n + -3n = 7 + 3n + -3n Combine like terms: 6n + -3n = 3n -23 + 3n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -23 + 3n = 7 + 0 -23 + 3n = 7 Add '23' to each side of the equation. -23 + 23 + 3n = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 3n = 7 + 23 3n = 7 + 23 Combine like terms: 7 + 23 = 30 3n = 30 Divide each side by '3'. n = 10 Simplifying n = 10
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