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Simplifying -2(-5n + 6) = 37 + 3n Reorder the terms: -2(6 + -5n) = 37 + 3n (6 * -2 + -5n * -2) = 37 + 3n (-12 + 10n) = 37 + 3n Solving -12 + 10n = 37 + 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. -12 + 10n + -3n = 37 + 3n + -3n Combine like terms: 10n + -3n = 7n -12 + 7n = 37 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 7n = 37 + 0 -12 + 7n = 37 Add '12' to each side of the equation. -12 + 12 + 7n = 37 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 37 + 12 7n = 37 + 12 Combine like terms: 37 + 12 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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