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Simplifying 15n + -6 = -7(5n + -6) + -6n Reorder the terms: -6 + 15n = -7(5n + -6) + -6n Reorder the terms: -6 + 15n = -7(-6 + 5n) + -6n -6 + 15n = (-6 * -7 + 5n * -7) + -6n -6 + 15n = (42 + -35n) + -6n Combine like terms: -35n + -6n = -41n -6 + 15n = 42 + -41n Solving -6 + 15n = 42 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. -6 + 15n + 41n = 42 + -41n + 41n Combine like terms: 15n + 41n = 56n -6 + 56n = 42 + -41n + 41n Combine like terms: -41n + 41n = 0 -6 + 56n = 42 + 0 -6 + 56n = 42 Add '6' to each side of the equation. -6 + 6 + 56n = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 56n = 42 + 6 56n = 42 + 6 Combine like terms: 42 + 6 = 48 56n = 48 Divide each side by '56'. n = 0.8571428571 Simplifying n = 0.8571428571
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