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Simplifying -7n + 10 = -5n + -8 Reorder the terms: 10 + -7n = -5n + -8 Reorder the terms: 10 + -7n = -8 + -5n Solving 10 + -7n = -8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 10 + -7n + 5n = -8 + -5n + 5n Combine like terms: -7n + 5n = -2n 10 + -2n = -8 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + -2n = -8 + 0 10 + -2n = -8 Add '-10' to each side of the equation. 10 + -10 + -2n = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -8 + -10 -2n = -8 + -10 Combine like terms: -8 + -10 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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