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Simplifying 5n + -38 = 6(5n + -385n + -38) + 3n Reorder the terms: -38 + 5n = 6(5n + -385n + -38) + 3n Reorder the terms: -38 + 5n = 6(-38 + 5n + -385n) + 3n Combine like terms: 5n + -385n = -380n -38 + 5n = 6(-38 + -380n) + 3n -38 + 5n = (-38 * 6 + -380n * 6) + 3n -38 + 5n = (-228 + -2280n) + 3n Combine like terms: -2280n + 3n = -2277n -38 + 5n = -228 + -2277n Solving -38 + 5n = -228 + -2277n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2277n' to each side of the equation. -38 + 5n + 2277n = -228 + -2277n + 2277n Combine like terms: 5n + 2277n = 2282n -38 + 2282n = -228 + -2277n + 2277n Combine like terms: -2277n + 2277n = 0 -38 + 2282n = -228 + 0 -38 + 2282n = -228 Add '38' to each side of the equation. -38 + 38 + 2282n = -228 + 38 Combine like terms: -38 + 38 = 0 0 + 2282n = -228 + 38 2282n = -228 + 38 Combine like terms: -228 + 38 = -190 2282n = -190 Divide each side by '2282'. n = -0.08326029798 Simplifying n = -0.08326029798
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