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Simplifying -8n + -3 = 7(n + 7) + -7 Reorder the terms: -3 + -8n = 7(n + 7) + -7 Reorder the terms: -3 + -8n = 7(7 + n) + -7 -3 + -8n = (7 * 7 + n * 7) + -7 -3 + -8n = (49 + 7n) + -7 Reorder the terms: -3 + -8n = 49 + -7 + 7n Combine like terms: 49 + -7 = 42 -3 + -8n = 42 + 7n Solving -3 + -8n = 42 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -3 + -8n + -7n = 42 + 7n + -7n Combine like terms: -8n + -7n = -15n -3 + -15n = 42 + 7n + -7n Combine like terms: 7n + -7n = 0 -3 + -15n = 42 + 0 -3 + -15n = 42 Add '3' to each side of the equation. -3 + 3 + -15n = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -15n = 42 + 3 -15n = 42 + 3 Combine like terms: 42 + 3 = 45 -15n = 45 Divide each side by '-15'. n = -3 Simplifying n = -3
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