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Simplifying 2(3n + -8) = -2(2n + -7) Reorder the terms: 2(-8 + 3n) = -2(2n + -7) (-8 * 2 + 3n * 2) = -2(2n + -7) (-16 + 6n) = -2(2n + -7) Reorder the terms: -16 + 6n = -2(-7 + 2n) -16 + 6n = (-7 * -2 + 2n * -2) -16 + 6n = (14 + -4n) Solving -16 + 6n = 14 + -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. -16 + 6n + 4n = 14 + -4n + 4n Combine like terms: 6n + 4n = 10n -16 + 10n = 14 + -4n + 4n Combine like terms: -4n + 4n = 0 -16 + 10n = 14 + 0 -16 + 10n = 14 Add '16' to each side of the equation. -16 + 16 + 10n = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 10n = 14 + 16 10n = 14 + 16 Combine like terms: 14 + 16 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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