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Simplifying 2 + -4(9n + -4) = -4(7n + -2) + 3 Reorder the terms: 2 + -4(-4 + 9n) = -4(7n + -2) + 3 2 + (-4 * -4 + 9n * -4) = -4(7n + -2) + 3 2 + (16 + -36n) = -4(7n + -2) + 3 Combine like terms: 2 + 16 = 18 18 + -36n = -4(7n + -2) + 3 Reorder the terms: 18 + -36n = -4(-2 + 7n) + 3 18 + -36n = (-2 * -4 + 7n * -4) + 3 18 + -36n = (8 + -28n) + 3 Reorder the terms: 18 + -36n = 8 + 3 + -28n Combine like terms: 8 + 3 = 11 18 + -36n = 11 + -28n Solving 18 + -36n = 11 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 18 + -36n + 28n = 11 + -28n + 28n Combine like terms: -36n + 28n = -8n 18 + -8n = 11 + -28n + 28n Combine like terms: -28n + 28n = 0 18 + -8n = 11 + 0 18 + -8n = 11 Add '-18' to each side of the equation. 18 + -18 + -8n = 11 + -18 Combine like terms: 18 + -18 = 0 0 + -8n = 11 + -18 -8n = 11 + -18 Combine like terms: 11 + -18 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875
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