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Simplifying 38 + 2n = -1(6n + 6) + -4 Reorder the terms: 38 + 2n = -1(6 + 6n) + -4 38 + 2n = (6 * -1 + 6n * -1) + -4 38 + 2n = (-6 + -6n) + -4 Reorder the terms: 38 + 2n = -6 + -4 + -6n Combine like terms: -6 + -4 = -10 38 + 2n = -10 + -6n Solving 38 + 2n = -10 + -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 = -10 + -6n + 6n Combine like terms: 2n + 6n = 8n 38 + 8n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 38 + 8n = -10 + 0 38 + 8n = -10 Add '-38' to each side of the equation. 38 + -38 + 8n = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 8n = -10 + -38 8n = -10 + -38 Combine like terms: -10 + -38 = -48 8n = -48 Divide each side by '8'. n = -6 Simplifying n = -6
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