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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 = -34n -30 + -34n = 4 + 28n + -28n Combine like terms: 28n + -28n = 0 -30 + -34n = 4 + 0 -30 + -34n = 4 Add '30' to each side of the equation. -30 + 30 + -34n = 4 + 30 Combine like terms: -30 + 30 = 0 0 + -34n = 4 + 30 -34n = 4 + 30 Combine like terms: 4 + 30 = 34 -34n = 34 Divide each side by '-34'. n = -1 Simplifying n = -1
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