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Simplifying -38 + -2n = 6(n + 5) + -4 Reorder the terms: -38 + -2n = 6(5 + n) + -4 -38 + -2n = (5 * 6 + n * 6) + -4 -38 + -2n = (30 + 6n) + -4 Reorder the terms: -38 + -2n = 30 + -4 + 6n Combine like terms: 30 + -4 = 26 -38 + -2n = 26 + 6n Solving -38 + -2n = 26 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -38 + -2n + -6n = 26 + 6n + -6n Combine like terms: -2n + -6n = -8n -38 + -8n = 26 + 6n + -6n Combine like terms: 6n + -6n = 0 -38 + -8n = 26 + 0 -38 + -8n = 26 Add '38' to each side of the equation. -38 + 38 + -8n = 26 + 38 Combine like terms: -38 + 38 = 0 0 + -8n = 26 + 38 -8n = 26 + 38 Combine like terms: 26 + 38 = 64 -8n = 64 Divide each side by '-8'. n = -8 Simplifying n = -8
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