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Simplifying 6(n + -1) + (2n + 1) = 10 + 7n Reorder the terms: 6(-1 + n) + (2n + 1) = 10 + 7n (-1 * 6 + n * 6) + (2n + 1) = 10 + 7n (-6 + 6n) + (2n + 1) = 10 + 7n Reorder the terms: -6 + 6n + (1 + 2n) = 10 + 7n Remove parenthesis around (1 + 2n) -6 + 6n + 1 + 2n = 10 + 7n Reorder the terms: -6 + 1 + 6n + 2n = 10 + 7n Combine like terms: -6 + 1 = -5 -5 + 6n + 2n = 10 + 7n Combine like terms: 6n + 2n = 8n -5 + 8n = 10 + 7n Solving -5 + 8n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 8n + -7n = 10 + 7n + -7n Combine like terms: 8n + -7n = 1n -5 + 1n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + 1n = 10 + 0 -5 + 1n = 10 Add '5' to each side of the equation. -5 + 5 + 1n = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = 10 + 5 1n = 10 + 5 Combine like terms: 10 + 5 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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