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Simplifying 5(7 + n) = 37 + 7n (7 * 5 + n * 5) = 37 + 7n (35 + 5n) = 37 + 7n Solving 35 + 5n = 37 + 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. 35 + 5n + -7n = 37 + 7n + -7n Combine like terms: 5n + -7n = -2n 35 + -2n = 37 + 7n + -7n Combine like terms: 7n + -7n = 0 35 + -2n = 37 + 0 35 + -2n = 37 Add '-35' to each side of the equation. 35 + -35 + -2n = 37 + -35 Combine like terms: 35 + -35 = 0 0 + -2n = 37 + -35 -2n = 37 + -35 Combine like terms: 37 + -35 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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