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Simplifying 22 + 4n = n + -5(3 + -8n) 22 + 4n = n + (3 * -5 + -8n * -5) 22 + 4n = n + (-15 + 40n) Reorder the terms: 22 + 4n = -15 + n + 40n Combine like terms: n + 40n = 41n 22 + 4n = -15 + 41n Solving 22 + 4n = -15 + 41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41n' to each side of the equation. 22 + 4n + -41n = -15 + 41n + -41n Combine like terms: 4n + -41n = -37n 22 + -37n = -15 + 41n + -41n Combine like terms: 41n + -41n = 0 22 + -37n = -15 + 0 22 + -37n = -15 Add '-22' to each side of the equation. 22 + -22 + -37n = -15 + -22 Combine like terms: 22 + -22 = 0 0 + -37n = -15 + -22 -37n = -15 + -22 Combine like terms: -15 + -22 = -37 -37n = -37 Divide each side by '-37'. n = 1 Simplifying n = 1
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