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Simplifying -10 + -2n + -10 = 8 + 5n Reorder the terms: -10 + -10 + -2n = 8 + 5n Combine like terms: -10 + -10 = -20 -20 + -2n = 8 + 5n Solving -20 + -2n = 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. -20 + -2n + -5n = 8 + 5n + -5n Combine like terms: -2n + -5n = -7n -20 + -7n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -20 + -7n = 8 + 0 -20 + -7n = 8 Add '20' to each side of the equation. -20 + 20 + -7n = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -7n = 8 + 20 -7n = 8 + 20 Combine like terms: 8 + 20 = 28 -7n = 28 Divide each side by '-7'. n = -4 Simplifying n = -4
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