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Simplifying -6n + -4n = 5(-2 + 7n) + 5(n + 2) Combine like terms: -6n + -4n = -10n -10n = 5(-2 + 7n) + 5(n + 2) -10n = (-2 * 5 + 7n * 5) + 5(n + 2) -10n = (-10 + 35n) + 5(n + 2) Reorder the terms: -10n = -10 + 35n + 5(2 + n) -10n = -10 + 35n + (2 * 5 + n * 5) -10n = -10 + 35n + (10 + 5n) Reorder the terms: -10n = -10 + 10 + 35n + 5n Combine like terms: -10 + 10 = 0 -10n = 0 + 35n + 5n -10n = 35n + 5n Combine like terms: 35n + 5n = 40n -10n = 40n Solving -10n = 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -10n + -40n = 40n + -40n Combine like terms: -10n + -40n = -50n -50n = 40n + -40n Combine like terms: 40n + -40n = 0 -50n = 0 Divide each side by '-50'. n = 0 Simplifying n = 0
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