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Simplifying n + 10 + -2n = -5(n + 2) Reorder the terms: 10 + n + -2n = -5(n + 2) Combine like terms: n + -2n = -1n 10 + -1n = -5(n + 2) Reorder the terms: 10 + -1n = -5(2 + n) 10 + -1n = (2 * -5 + n * -5) 10 + -1n = (-10 + -5n) Solving 10 + -1n = -10 + -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 + -1n + 5n = -10 + -5n + 5n Combine like terms: -1n + 5n = 4n 10 + 4n = -10 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + 4n = -10 + 0 10 + 4n = -10 Add '-10' to each side of the equation. 10 + -10 + 4n = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = -10 + -10 4n = -10 + -10 Combine like terms: -10 + -10 = -20 4n = -20 Divide each side by '4'. n = -5 Simplifying n = -5
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