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Simplifying 4n + 2(n + -1) = -6n + 2(5n + -3) Reorder the terms: 4n + 2(-1 + n) = -6n + 2(5n + -3) 4n + (-1 * 2 + n * 2) = -6n + 2(5n + -3) 4n + (-2 + 2n) = -6n + 2(5n + -3) Reorder the terms: -2 + 4n + 2n = -6n + 2(5n + -3) Combine like terms: 4n + 2n = 6n -2 + 6n = -6n + 2(5n + -3) Reorder the terms: -2 + 6n = -6n + 2(-3 + 5n) -2 + 6n = -6n + (-3 * 2 + 5n * 2) -2 + 6n = -6n + (-6 + 10n) Reorder the terms: -2 + 6n = -6 + -6n + 10n Combine like terms: -6n + 10n = 4n -2 + 6n = -6 + 4n Solving -2 + 6n = -6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -2 + 6n + -4n = -6 + 4n + -4n Combine like terms: 6n + -4n = 2n -2 + 2n = -6 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + 2n = -6 + 0 -2 + 2n = -6 Add '2' to each side of the equation. -2 + 2 + 2n = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = -6 + 2 2n = -6 + 2 Combine like terms: -6 + 2 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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