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Simplifying 5n + -7 = 9n + 21 Reorder the terms: -7 + 5n = 9n + 21 Reorder the terms: -7 + 5n = 21 + 9n Solving -7 + 5n = 21 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -7 + 5n + -9n = 21 + 9n + -9n Combine like terms: 5n + -9n = -4n -7 + -4n = 21 + 9n + -9n Combine like terms: 9n + -9n = 0 -7 + -4n = 21 + 0 -7 + -4n = 21 Add '7' to each side of the equation. -7 + 7 + -4n = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -4n = 21 + 7 -4n = 21 + 7 Combine like terms: 21 + 7 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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