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Simplifying 7(n + 6) + 2(5 + -5n) = 49 Reorder the terms: 7(6 + n) + 2(5 + -5n) = 49 (6 * 7 + n * 7) + 2(5 + -5n) = 49 (42 + 7n) + 2(5 + -5n) = 49 42 + 7n + (5 * 2 + -5n * 2) = 49 42 + 7n + (10 + -10n) = 49 Reorder the terms: 42 + 10 + 7n + -10n = 49 Combine like terms: 42 + 10 = 52 52 + 7n + -10n = 49 Combine like terms: 7n + -10n = -3n 52 + -3n = 49 Solving 52 + -3n = 49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -3n = 49 + -52 Combine like terms: 52 + -52 = 0 0 + -3n = 49 + -52 -3n = 49 + -52 Combine like terms: 49 + -52 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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