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Simplifying 8n + -38 = -6(-6n + -3) Reorder the terms: -38 + 8n = -6(-6n + -3) Reorder the terms: -38 + 8n = -6(-3 + -6n) -38 + 8n = (-3 * -6 + -6n * -6) -38 + 8n = (18 + 36n) Solving -38 + 8n = 18 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -38 + 8n + -36n = 18 + 36n + -36n Combine like terms: 8n + -36n = -28n -38 + -28n = 18 + 36n + -36n Combine like terms: 36n + -36n = 0 -38 + -28n = 18 + 0 -38 + -28n = 18 Add '38' to each side of the equation. -38 + 38 + -28n = 18 + 38 Combine like terms: -38 + 38 = 0 0 + -28n = 18 + 38 -28n = 18 + 38 Combine like terms: 18 + 38 = 56 -28n = 56 Divide each side by '-28'. n = -2 Simplifying n = -2
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