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Simplifying 9(5n + -6) + -7(n + 2) = 46 Reorder the terms: 9(-6 + 5n) + -7(n + 2) = 46 (-6 * 9 + 5n * 9) + -7(n + 2) = 46 (-54 + 45n) + -7(n + 2) = 46 Reorder the terms: -54 + 45n + -7(2 + n) = 46 -54 + 45n + (2 * -7 + n * -7) = 46 -54 + 45n + (-14 + -7n) = 46 Reorder the terms: -54 + -14 + 45n + -7n = 46 Combine like terms: -54 + -14 = -68 -68 + 45n + -7n = 46 Combine like terms: 45n + -7n = 38n -68 + 38n = 46 Solving -68 + 38n = 46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 38n = 46 + 68 Combine like terms: -68 + 68 = 0 0 + 38n = 46 + 68 38n = 46 + 68 Combine like terms: 46 + 68 = 114 38n = 114 Divide each side by '38'. n = 3 Simplifying n = 3
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