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Simplifying 49 = 7(n + 6) Reorder the terms: 49 = 7(6 + n) 49 = (6 * 7 + n * 7) 49 = (42 + 7n) Solving 49 = 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. 49 + -7n = 42 + 7n + -7n Combine like terms: 7n + -7n = 0 49 + -7n = 42 + 0 49 + -7n = 42 Add '-49' to each side of the equation. 49 + -49 + -7n = 42 + -49 Combine like terms: 49 + -49 = 0 0 + -7n = 42 + -49 -7n = 42 + -49 Combine like terms: 42 + -49 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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