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Simplifying 2(n + -5) = 3n + 7 Reorder the terms: 2(-5 + n) = 3n + 7 (-5 * 2 + n * 2) = 3n + 7 (-10 + 2n) = 3n + 7 Reorder the terms: -10 + 2n = 7 + 3n Solving -10 + 2n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -10 + 2n + -3n = 7 + 3n + -3n Combine like terms: 2n + -3n = -1n -10 + -1n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + -1n = 7 + 0 -10 + -1n = 7 Add '10' to each side of the equation. -10 + 10 + -1n = 7 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 7 + 10 -1n = 7 + 10 Combine like terms: 7 + 10 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17
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