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Simplifying -6(6n + 5) + 4(n + -2) = 0 Reorder the terms: -6(5 + 6n) + 4(n + -2) = 0 (5 * -6 + 6n * -6) + 4(n + -2) = 0 (-30 + -36n) + 4(n + -2) = 0 Reorder the terms: -30 + -36n + 4(-2 + n) = 0 -30 + -36n + (-2 * 4 + n * 4) = 0 -30 + -36n + (-8 + 4n) = 0 Reorder the terms: -30 + -8 + -36n + 4n = 0 Combine like terms: -30 + -8 = -38 -38 + -36n + 4n = 0 Combine like terms: -36n + 4n = -32n -38 + -32n = 0 Solving -38 + -32n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -32n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -32n = 0 + 38 -32n = 0 + 38 Combine like terms: 0 + 38 = 38 -32n = 38 Divide each side by '-32'. n = -1.1875 Simplifying n = -1.1875
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