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Simplifying 5(n + 2) = n + -10 Reorder the terms: 5(2 + n) = n + -10 (2 * 5 + n * 5) = n + -10 (10 + 5n) = n + -10 Reorder the terms: 10 + 5n = -10 + n Solving 10 + 5n = -10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + 5n + -1n = -10 + n + -1n Combine like terms: 5n + -1n = 4n 10 + 4n = -10 + n + -1n Combine like terms: n + -1n = 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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