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Simplifying -3(5 + 4n) = -22 + -5n (5 * -3 + 4n * -3) = -22 + -5n (-15 + -12n) = -22 + -5n Solving -15 + -12n = -22 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -15 + -12n + 5n = -22 + -5n + 5n Combine like terms: -12n + 5n = -7n -15 + -7n = -22 + -5n + 5n Combine like terms: -5n + 5n = 0 -15 + -7n = -22 + 0 -15 + -7n = -22 Add '15' to each side of the equation. -15 + 15 + -7n = -22 + 15 Combine like terms: -15 + 15 = 0 0 + -7n = -22 + 15 -7n = -22 + 15 Combine like terms: -22 + 15 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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