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Simplifying 8n + -38 = -3(1 + -5n) Reorder the terms: -38 + 8n = -3(1 + -5n) -38 + 8n = (1 * -3 + -5n * -3) -38 + 8n = (-3 + 15n) Solving -38 + 8n = -3 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -38 + 8n + -15n = -3 + 15n + -15n Combine like terms: 8n + -15n = -7n -38 + -7n = -3 + 15n + -15n Combine like terms: 15n + -15n = 0 -38 + -7n = -3 + 0 -38 + -7n = -3 Add '38' to each side of the equation. -38 + 38 + -7n = -3 + 38 Combine like terms: -38 + 38 = 0 0 + -7n = -3 + 38 -7n = -3 + 38 Combine like terms: -3 + 38 = 35 -7n = 35 Divide each side by '-7'. n = -5 Simplifying n = -5
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