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Simplifying 6n + 3 + -5n = 2n + -7 Reorder the terms: 3 + 6n + -5n = 2n + -7 Combine like terms: 6n + -5n = 1n 3 + 1n = 2n + -7 Reorder the terms: 3 + 1n = -7 + 2n Solving 3 + 1n = -7 + 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. 3 + 1n + -2n = -7 + 2n + -2n Combine like terms: 1n + -2n = -1n 3 + -1n = -7 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + -1n = -7 + 0 3 + -1n = -7 Add '-3' to each side of the equation. 3 + -3 + -1n = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = -7 + -3 -1n = -7 + -3 Combine like terms: -7 + -3 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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