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Simplifying 3(5n + 6) = 10n + -4 Reorder the terms: 3(6 + 5n) = 10n + -4 (6 * 3 + 5n * 3) = 10n + -4 (18 + 15n) = 10n + -4 Reorder the terms: 18 + 15n = -4 + 10n Solving 18 + 15n = -4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 18 + 15n + -10n = -4 + 10n + -10n Combine like terms: 15n + -10n = 5n 18 + 5n = -4 + 10n + -10n Combine like terms: 10n + -10n = 0 18 + 5n = -4 + 0 18 + 5n = -4 Add '-18' to each side of the equation. 18 + -18 + 5n = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 5n = -4 + -18 5n = -4 + -18 Combine like terms: -4 + -18 = -22 5n = -22 Divide each side by '5'. n = -4.4 Simplifying n = -4.4
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