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Simplifying -22 + 4n = -5(-2n + 8) Reorder the terms: -22 + 4n = -5(8 + -2n) -22 + 4n = (8 * -5 + -2n * -5) -22 + 4n = (-40 + 10n) Solving -22 + 4n = -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 + 4n + -10n = -40 + 10n + -10n Combine like terms: 4n + -10n = -6n -22 + -6n = -40 + 10n + -10n Combine like terms: 10n + -10n = 0 -22 + -6n = -40 + 0 -22 + -6n = -40 Add '22' to each side of the equation. -22 + 22 + -6n = -40 + 22 Combine like terms: -22 + 22 = 0 0 + -6n = -40 + 22 -6n = -40 + 22 Combine like terms: -40 + 22 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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