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Simplifying 4 + 2(8n + -1) = -4(2n + 1) + -4 Reorder the terms: 4 + 2(-1 + 8n) = -4(2n + 1) + -4 4 + (-1 * 2 + 8n * 2) = -4(2n + 1) + -4 4 + (-2 + 16n) = -4(2n + 1) + -4 Combine like terms: 4 + -2 = 2 2 + 16n = -4(2n + 1) + -4 Reorder the terms: 2 + 16n = -4(1 + 2n) + -4 2 + 16n = (1 * -4 + 2n * -4) + -4 2 + 16n = (-4 + -8n) + -4 Reorder the terms: 2 + 16n = -4 + -4 + -8n Combine like terms: -4 + -4 = -8 2 + 16n = -8 + -8n Solving 2 + 16n = -8 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 2 + 16n + 8n = -8 + -8n + 8n Combine like terms: 16n + 8n = 24n 2 + 24n = -8 + -8n + 8n Combine like terms: -8n + 8n = 0 2 + 24n = -8 + 0 2 + 24n = -8 Add '-2' to each side of the equation. 2 + -2 + 24n = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 24n = -8 + -2 24n = -8 + -2 Combine like terms: -8 + -2 = -10 24n = -10 Divide each side by '24'. n = -0.4166666667 Simplifying n = -0.4166666667
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