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Simplifying -4(3n + 1) = -34 + -7n Reorder the terms: -4(1 + 3n) = -34 + -7n (1 * -4 + 3n * -4) = -34 + -7n (-4 + -12n) = -34 + -7n Solving -4 + -12n = -34 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -4 + -12n + 7n = -34 + -7n + 7n Combine like terms: -12n + 7n = -5n -4 + -5n = -34 + -7n + 7n Combine like terms: -7n + 7n = 0 -4 + -5n = -34 + 0 -4 + -5n = -34 Add '4' to each side of the equation. -4 + 4 + -5n = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -5n = -34 + 4 -5n = -34 + 4 Combine like terms: -34 + 4 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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