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Simplifying 3 + 4(2n + -1) = 6n + -2 Reorder the terms: 3 + 4(-1 + 2n) = 6n + -2 3 + (-1 * 4 + 2n * 4) = 6n + -2 3 + (-4 + 8n) = 6n + -2 Combine like terms: 3 + -4 = -1 -1 + 8n = 6n + -2 Reorder the terms: -1 + 8n = -2 + 6n Solving -1 + 8n = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -1 + 8n + -6n = -2 + 6n + -6n Combine like terms: 8n + -6n = 2n -1 + 2n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 -1 + 2n = -2 + 0 -1 + 2n = -2 Add '1' to each side of the equation. -1 + 1 + 2n = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = -2 + 1 2n = -2 + 1 Combine like terms: -2 + 1 = -1 2n = -1 Divide each side by '2'. n = -0.5 Simplifying n = -0.5
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