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Simplifying -7 = 5n + -9n + 1 Reorder the terms: -7 = 1 + 5n + -9n Combine like terms: 5n + -9n = -4n -7 = 1 + -4n Solving -7 = 1 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -7 + 4n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 -7 + 4n = 1 + 0 -7 + 4n = 1 Add '7' to each side of the equation. -7 + 7 + 4n = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 1 + 7 4n = 1 + 7 Combine like terms: 1 + 7 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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