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Simplifying 6(4n + -1) = 5(5n + -2) Reorder the terms: 6(-1 + 4n) = 5(5n + -2) (-1 * 6 + 4n * 6) = 5(5n + -2) (-6 + 24n) = 5(5n + -2) Reorder the terms: -6 + 24n = 5(-2 + 5n) -6 + 24n = (-2 * 5 + 5n * 5) -6 + 24n = (-10 + 25n) Solving -6 + 24n = -10 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -6 + 24n + -25n = -10 + 25n + -25n Combine like terms: 24n + -25n = -1n -6 + -1n = -10 + 25n + -25n Combine like terms: 25n + -25n = 0 -6 + -1n = -10 + 0 -6 + -1n = -10 Add '6' to each side of the equation. -6 + 6 + -1n = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = -10 + 6 -1n = -10 + 6 Combine like terms: -10 + 6 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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