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Simplifying 20 + 4n = -6(3n + -7) Reorder the terms: 20 + 4n = -6(-7 + 3n) 20 + 4n = (-7 * -6 + 3n * -6) 20 + 4n = (42 + -18n) Solving 20 + 4n = 42 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 20 + 4n + 18n = 42 + -18n + 18n Combine like terms: 4n + 18n = 22n 20 + 22n = 42 + -18n + 18n Combine like terms: -18n + 18n = 0 20 + 22n = 42 + 0 20 + 22n = 42 Add '-20' to each side of the equation. 20 + -20 + 22n = 42 + -20 Combine like terms: 20 + -20 = 0 0 + 22n = 42 + -20 22n = 42 + -20 Combine like terms: 42 + -20 = 22 22n = 22 Divide each side by '22'. n = 1 Simplifying n = 1
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