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Simplifying 5 + -2 + -1(3n + 8) = 2n + -10 Reorder the terms: 5 + -2 + -1(8 + 3n) = 2n + -10 5 + -2 + (8 * -1 + 3n * -1) = 2n + -10 5 + -2 + (-8 + -3n) = 2n + -10 Combine like terms: 5 + -2 = 3 3 + -8 + -3n = 2n + -10 Combine like terms: 3 + -8 = -5 -5 + -3n = 2n + -10 Reorder the terms: -5 + -3n = -10 + 2n Solving -5 + -3n = -10 + 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. -5 + -3n + -2n = -10 + 2n + -2n Combine like terms: -3n + -2n = -5n -5 + -5n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + -5n = -10 + 0 -5 + -5n = -10 Add '5' to each side of the equation. -5 + 5 + -5n = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -5n = -10 + 5 -5n = -10 + 5 Combine like terms: -10 + 5 = -5 -5n = -5 Divide each side by '-5'. n = 1 Simplifying n = 1
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