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Simplifying -37 + 8n = 3 + 3(1 + 6n) -37 + 8n = 3 + (1 * 3 + 6n * 3) -37 + 8n = 3 + (3 + 18n) Combine like terms: 3 + 3 = 6 -37 + 8n = 6 + 18n Solving -37 + 8n = 6 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -37 + 8n + -18n = 6 + 18n + -18n Combine like terms: 8n + -18n = -10n -37 + -10n = 6 + 18n + -18n Combine like terms: 18n + -18n = 0 -37 + -10n = 6 + 0 -37 + -10n = 6 Add '37' to each side of the equation. -37 + 37 + -10n = 6 + 37 Combine like terms: -37 + 37 = 0 0 + -10n = 6 + 37 -10n = 6 + 37 Combine like terms: 6 + 37 = 43 -10n = 43 Divide each side by '-10'. n = -4.3 Simplifying n = -4.3
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