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Simplifying -4(1 + 7n) = -6n + 34 (1 * -4 + 7n * -4) = -6n + 34 (-4 + -28n) = -6n + 34 Reorder the terms: -4 + -28n = 34 + -6n Solving -4 + -28n = 34 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -4 + -28n + 6n = 34 + -6n + 6n Combine like terms: -28n + 6n = -22n -4 + -22n = 34 + -6n + 6n Combine like terms: -6n + 6n = 0 -4 + -22n = 34 + 0 -4 + -22n = 34 Add '4' to each side of the equation. -4 + 4 + -22n = 34 + 4 Combine like terms: -4 + 4 = 0 0 + -22n = 34 + 4 -22n = 34 + 4 Combine like terms: 34 + 4 = 38 -22n = 38 Divide each side by '-22'. n = -1.727272727 Simplifying n = -1.727272727
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