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Simplifying -7(n + -3) = 10 + -1(8n + 2) Reorder the terms: -7(-3 + n) = 10 + -1(8n + 2) (-3 * -7 + n * -7) = 10 + -1(8n + 2) (21 + -7n) = 10 + -1(8n + 2) Reorder the terms: 21 + -7n = 10 + -1(2 + 8n) 21 + -7n = 10 + (2 * -1 + 8n * -1) 21 + -7n = 10 + (-2 + -8n) Combine like terms: 10 + -2 = 8 21 + -7n = 8 + -8n Solving 21 + -7n = 8 + -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. 21 + -7n + 8n = 8 + -8n + 8n Combine like terms: -7n + 8n = 1n 21 + 1n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 21 + 1n = 8 + 0 21 + 1n = 8 Add '-21' to each side of the equation. 21 + -21 + 1n = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1n = 8 + -21 1n = 8 + -21 Combine like terms: 8 + -21 = -13 1n = -13 Divide each side by '1'. n = -13 Simplifying n = -13
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