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Simplifying -6 + 2n = 3n + -1(2n + 5) Reorder the terms: -6 + 2n = 3n + -1(5 + 2n) -6 + 2n = 3n + (5 * -1 + 2n * -1) -6 + 2n = 3n + (-5 + -2n) Reorder the terms: -6 + 2n = -5 + 3n + -2n Combine like terms: 3n + -2n = 1n -6 + 2n = -5 + 1n Solving -6 + 2n = -5 + 1n 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. -6 + 2n + -1n = -5 + 1n + -1n Combine like terms: 2n + -1n = 1n -6 + 1n = -5 + 1n + -1n Combine like terms: 1n + -1n = 0 -6 + 1n = -5 + 0 -6 + 1n = -5 Add '6' to each side of the equation. -6 + 6 + 1n = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -5 + 6 1n = -5 + 6 Combine like terms: -5 + 6 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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