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Simplifying 7 + 22n = 35 + 15n Solving 7 + 22n = 35 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 7 + 22n + -15n = 35 + 15n + -15n Combine like terms: 22n + -15n = 7n 7 + 7n = 35 + 15n + -15n Combine like terms: 15n + -15n = 0 7 + 7n = 35 + 0 7 + 7n = 35 Add '-7' to each side of the equation. 7 + -7 + 7n = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 35 + -7 7n = 35 + -7 Combine like terms: 35 + -7 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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