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Simplifying 5(9 + -5n) + -7 = -38 (9 * 5 + -5n * 5) + -7 = -38 (45 + -25n) + -7 = -38 Reorder the terms: 45 + -7 + -25n = -38 Combine like terms: 45 + -7 = 38 38 + -25n = -38 Solving 38 + -25n = -38 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 + -25n = -38 + -38 Combine like terms: 38 + -38 = 0 0 + -25n = -38 + -38 -25n = -38 + -38 Combine like terms: -38 + -38 = -76 -25n = -76 Divide each side by '-25'. n = 3.04 Simplifying n = 3.04
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