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Simplifying 2n + 1 = -4(3 + 5n) Reorder the terms: 1 + 2n = -4(3 + 5n) 1 + 2n = (3 * -4 + 5n * -4) 1 + 2n = (-12 + -20n) Solving 1 + 2n = -12 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 1 + 2n + 20n = -12 + -20n + 20n Combine like terms: 2n + 20n = 22n 1 + 22n = -12 + -20n + 20n Combine like terms: -20n + 20n = 0 1 + 22n = -12 + 0 1 + 22n = -12 Add '-1' to each side of the equation. 1 + -1 + 22n = -12 + -1 Combine like terms: 1 + -1 = 0 0 + 22n = -12 + -1 22n = -12 + -1 Combine like terms: -12 + -1 = -13 22n = -13 Divide each side by '22'. n = -0.5909090909 Simplifying n = -0.5909090909
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