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Simplifying 2n + -1(3 + 4n + 6n) + 1 = n + 1 Combine like terms: 4n + 6n = 10n 2n + -1(3 + 10n) + 1 = n + 1 2n + (3 * -1 + 10n * -1) + 1 = n + 1 2n + (-3 + -10n) + 1 = n + 1 Reorder the terms: -3 + 1 + 2n + -10n = n + 1 Combine like terms: -3 + 1 = -2 -2 + 2n + -10n = n + 1 Combine like terms: 2n + -10n = -8n -2 + -8n = n + 1 Reorder the terms: -2 + -8n = 1 + n Solving -2 + -8n = 1 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + -8n + -1n = 1 + n + -1n Combine like terms: -8n + -1n = -9n -2 + -9n = 1 + n + -1n Combine like terms: n + -1n = 0 -2 + -9n = 1 + 0 -2 + -9n = 1 Add '2' to each side of the equation. -2 + 2 + -9n = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -9n = 1 + 2 -9n = 1 + 2 Combine like terms: 1 + 2 = 3 -9n = 3 Divide each side by '-9'. n = -0.3333333333 Simplifying n = -0.3333333333
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