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Simplifying -4(5n + 1) = -5n + -34 Reorder the terms: -4(1 + 5n) = -5n + -34 (1 * -4 + 5n * -4) = -5n + -34 (-4 + -20n) = -5n + -34 Reorder the terms: -4 + -20n = -34 + -5n Solving -4 + -20n = -34 + -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. -4 + -20n + 5n = -34 + -5n + 5n Combine like terms: -20n + 5n = -15n -4 + -15n = -34 + -5n + 5n Combine like terms: -5n + 5n = 0 -4 + -15n = -34 + 0 -4 + -15n = -34 Add '4' to each side of the equation. -4 + 4 + -15n = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -15n = -34 + 4 -15n = -34 + 4 Combine like terms: -34 + 4 = -30 -15n = -30 Divide each side by '-15'. n = 2 Simplifying n = 2
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