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Simplifying -7 + -4(2n + -2) = -1(-5n + 2) + 6 Reorder the terms: -7 + -4(-2 + 2n) = -1(-5n + 2) + 6 -7 + (-2 * -4 + 2n * -4) = -1(-5n + 2) + 6 -7 + (8 + -8n) = -1(-5n + 2) + 6 Combine like terms: -7 + 8 = 1 1 + -8n = -1(-5n + 2) + 6 Reorder the terms: 1 + -8n = -1(2 + -5n) + 6 1 + -8n = (2 * -1 + -5n * -1) + 6 1 + -8n = (-2 + 5n) + 6 Reorder the terms: 1 + -8n = -2 + 6 + 5n Combine like terms: -2 + 6 = 4 1 + -8n = 4 + 5n Solving 1 + -8n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + -8n + -5n = 4 + 5n + -5n Combine like terms: -8n + -5n = -13n 1 + -13n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + -13n = 4 + 0 1 + -13n = 4 Add '-1' to each side of the equation. 1 + -1 + -13n = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -13n = 4 + -1 -13n = 4 + -1 Combine like terms: 4 + -1 = 3 -13n = 3 Divide each side by '-13'. n = -0.2307692308 Simplifying n = -0.2307692308
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