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Simplifying 5n + 22 = 7n + -12 Reorder the terms: 22 + 5n = 7n + -12 Reorder the terms: 22 + 5n = -12 + 7n Solving 22 + 5n = -12 + 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. 22 + 5n + -7n = -12 + 7n + -7n Combine like terms: 5n + -7n = -2n 22 + -2n = -12 + 7n + -7n Combine like terms: 7n + -7n = 0 22 + -2n = -12 + 0 22 + -2n = -12 Add '-22' to each side of the equation. 22 + -22 + -2n = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -2n = -12 + -22 -2n = -12 + -22 Combine like terms: -12 + -22 = -34 -2n = -34 Divide each side by '-2'. n = 17 Simplifying n = 17
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