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Simplifying 5(1 + -2n) + -6n = 37 + -8n (1 * 5 + -2n * 5) + -6n = 37 + -8n (5 + -10n) + -6n = 37 + -8n Combine like terms: -10n + -6n = -16n 5 + -16n = 37 + -8n Solving 5 + -16n = 37 + -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. 5 + -16n + 8n = 37 + -8n + 8n Combine like terms: -16n + 8n = -8n 5 + -8n = 37 + -8n + 8n Combine like terms: -8n + 8n = 0 5 + -8n = 37 + 0 5 + -8n = 37 Add '-5' to each side of the equation. 5 + -5 + -8n = 37 + -5 Combine like terms: 5 + -5 = 0 0 + -8n = 37 + -5 -8n = 37 + -5 Combine like terms: 37 + -5 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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