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Simplifying 2 + -4(7n + 4) = -8(-1n + -3) + -7 Reorder the terms: 2 + -4(4 + 7n) = -8(-1n + -3) + -7 2 + (4 * -4 + 7n * -4) = -8(-1n + -3) + -7 2 + (-16 + -28n) = -8(-1n + -3) + -7 Combine like terms: 2 + -16 = -14 -14 + -28n = -8(-1n + -3) + -7 Reorder the terms: -14 + -28n = -8(-3 + -1n) + -7 -14 + -28n = (-3 * -8 + -1n * -8) + -7 -14 + -28n = (24 + 8n) + -7 Reorder the terms: -14 + -28n = 24 + -7 + 8n Combine like terms: 24 + -7 = 17 -14 + -28n = 17 + 8n Solving -14 + -28n = 17 + 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. -14 + -28n + -8n = 17 + 8n + -8n Combine like terms: -28n + -8n = -36n -14 + -36n = 17 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + -36n = 17 + 0 -14 + -36n = 17 Add '14' to each side of the equation. -14 + 14 + -36n = 17 + 14 Combine like terms: -14 + 14 = 0 0 + -36n = 17 + 14 -36n = 17 + 14 Combine like terms: 17 + 14 = 31 -36n = 31 Divide each side by '-36'. n = -0.8611111111 Simplifying n = -0.8611111111
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