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Simplifying 3n + 22 = 7n + -6 Reorder the terms: 22 + 3n = 7n + -6 Reorder the terms: 22 + 3n = -6 + 7n Solving 22 + 3n = -6 + 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 + 3n + -7n = -6 + 7n + -7n Combine like terms: 3n + -7n = -4n 22 + -4n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 22 + -4n = -6 + 0 22 + -4n = -6 Add '-22' to each side of the equation. 22 + -22 + -4n = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -4n = -6 + -22 -4n = -6 + -22 Combine like terms: -6 + -22 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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