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Simplifying -6(n + 5) = -4(7n + 1) Reorder the terms: -6(5 + n) = -4(7n + 1) (5 * -6 + n * -6) = -4(7n + 1) (-30 + -6n) = -4(7n + 1) Reorder the terms: -30 + -6n = -4(1 + 7n) -30 + -6n = (1 * -4 + 7n * -4) -30 + -6n = (-4 + -28n) Solving -30 + -6n = -4 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -30 + -6n + 28n = -4 + -28n + 28n Combine like terms: -6n + 28n = 22n -30 + 22n = -4 + -28n + 28n Combine like terms: -28n + 28n = 0 -30 + 22n = -4 + 0 -30 + 22n = -4 Add '30' to each side of the equation. -30 + 30 + 22n = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 22n = -4 + 30 22n = -4 + 30 Combine like terms: -4 + 30 = 26 22n = 26 Divide each side by '22'. n = 1.181818182 Simplifying n = 1.181818182
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