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Simplifying 5n + -7 = 28 + -2n Reorder the terms: -7 + 5n = 28 + -2n Solving -7 + 5n = 28 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -7 + 5n + 2n = 28 + -2n + 2n Combine like terms: 5n + 2n = 7n -7 + 7n = 28 + -2n + 2n Combine like terms: -2n + 2n = 0 -7 + 7n = 28 + 0 -7 + 7n = 28 Add '7' to each side of the equation. -7 + 7 + 7n = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = 28 + 7 7n = 28 + 7 Combine like terms: 28 + 7 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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