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Simplifying 5n + -3 = 2(9n + -7) + 14 + -6n Reorder the terms: -3 + 5n = 2(9n + -7) + 14 + -6n Reorder the terms: -3 + 5n = 2(-7 + 9n) + 14 + -6n -3 + 5n = (-7 * 2 + 9n * 2) + 14 + -6n -3 + 5n = (-14 + 18n) + 14 + -6n Reorder the terms: -3 + 5n = -14 + 14 + 18n + -6n Combine like terms: -14 + 14 = 0 -3 + 5n = 0 + 18n + -6n -3 + 5n = 18n + -6n Combine like terms: 18n + -6n = 12n -3 + 5n = 12n Solving -3 + 5n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -3 + 5n + -12n = 12n + -12n Combine like terms: 5n + -12n = -7n -3 + -7n = 12n + -12n Combine like terms: 12n + -12n = 0 -3 + -7n = 0 Add '3' to each side of the equation. -3 + 3 + -7n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7n = 0 + 3 -7n = 0 + 3 Combine like terms: 0 + 3 = 3 -7n = 3 Divide each side by '-7'. n = -0.4285714286 Simplifying n = -0.4285714286
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