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Simplifying 22 + -7n = -5(2n + -8) Reorder the terms: 22 + -7n = -5(-8 + 2n) 22 + -7n = (-8 * -5 + 2n * -5) 22 + -7n = (40 + -10n) Solving 22 + -7n = 40 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 22 + -7n + 10n = 40 + -10n + 10n Combine like terms: -7n + 10n = 3n 22 + 3n = 40 + -10n + 10n Combine like terms: -10n + 10n = 0 22 + 3n = 40 + 0 22 + 3n = 40 Add '-22' to each side of the equation. 22 + -22 + 3n = 40 + -22 Combine like terms: 22 + -22 = 0 0 + 3n = 40 + -22 3n = 40 + -22 Combine like terms: 40 + -22 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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