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Simplifying -4(-5n + 3) = 3n + 22 Reorder the terms: -4(3 + -5n) = 3n + 22 (3 * -4 + -5n * -4) = 3n + 22 (-12 + 20n) = 3n + 22 Reorder the terms: -12 + 20n = 22 + 3n Solving -12 + 20n = 22 + 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 + 20n + -3n = 22 + 3n + -3n Combine like terms: 20n + -3n = 17n -12 + 17n = 22 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 17n = 22 + 0 -12 + 17n = 22 Add '12' to each side of the equation. -12 + 12 + 17n = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 17n = 22 + 12 17n = 22 + 12 Combine like terms: 22 + 12 = 34 17n = 34 Divide each side by '17'. n = 2 Simplifying n = 2
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