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Simplifying -2(5n + -7) + 3n + -1(n + 4) = 26 Reorder the terms: -2(-7 + 5n) + 3n + -1(n + 4) = 26 (-7 * -2 + 5n * -2) + 3n + -1(n + 4) = 26 (14 + -10n) + 3n + -1(n + 4) = 26 Reorder the terms: 14 + -10n + 3n + -1(4 + n) = 26 14 + -10n + 3n + (4 * -1 + n * -1) = 26 14 + -10n + 3n + (-4 + -1n) = 26 Reorder the terms: 14 + -4 + -10n + 3n + -1n = 26 Combine like terms: 14 + -4 = 10 10 + -10n + 3n + -1n = 26 Combine like terms: -10n + 3n = -7n 10 + -7n + -1n = 26 Combine like terms: -7n + -1n = -8n 10 + -8n = 26 Solving 10 + -8n = 26 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -8n = 26 + -10 Combine like terms: 10 + -10 = 0 0 + -8n = 26 + -10 -8n = 26 + -10 Combine like terms: 26 + -10 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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