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Simplifying 5 + -7(-1 + 6n) = -38 + 8n 5 + (-1 * -7 + 6n * -7) = -38 + 8n 5 + (7 + -42n) = -38 + 8n Combine like terms: 5 + 7 = 12 12 + -42n = -38 + 8n Solving 12 + -42n = -38 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 12 + -42n + -8n = -38 + 8n + -8n Combine like terms: -42n + -8n = -50n 12 + -50n = -38 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -50n = -38 + 0 12 + -50n = -38 Add '-12' to each side of the equation. 12 + -12 + -50n = -38 + -12 Combine like terms: 12 + -12 = 0 0 + -50n = -38 + -12 -50n = -38 + -12 Combine like terms: -38 + -12 = -50 -50n = -50 Divide each side by '-50'. n = 1 Simplifying n = 1
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