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Simplifying 7 + -5n = 2n + -6n + 15 Reorder the terms: 7 + -5n = 15 + 2n + -6n Combine like terms: 2n + -6n = -4n 7 + -5n = 15 + -4n Solving 7 + -5n = 15 + -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 + -5n + 4n = 15 + -4n + 4n Combine like terms: -5n + 4n = -1n 7 + -1n = 15 + -4n + 4n Combine like terms: -4n + 4n = 0 7 + -1n = 15 + 0 7 + -1n = 15 Add '-7' to each side of the equation. 7 + -7 + -1n = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 15 + -7 -1n = 15 + -7 Combine like terms: 15 + -7 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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