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Simplifying 3 + 3(1 + -5n) = -4 + -5n 3 + (1 * 3 + -5n * 3) = -4 + -5n 3 + (3 + -15n) = -4 + -5n Combine like terms: 3 + 3 = 6 6 + -15n = -4 + -5n Solving 6 + -15n = -4 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 6 + -15n + 5n = -4 + -5n + 5n Combine like terms: -15n + 5n = -10n 6 + -10n = -4 + -5n + 5n Combine like terms: -5n + 5n = 0 6 + -10n = -4 + 0 6 + -10n = -4 Add '-6' to each side of the equation. 6 + -6 + -10n = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -10n = -4 + -6 -10n = -4 + -6 Combine like terms: -4 + -6 = -10 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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