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Simplifying 30 + 2n = -4(5n + -2) Reorder the terms: 30 + 2n = -4(-2 + 5n) 30 + 2n = (-2 * -4 + 5n * -4) 30 + 2n = (8 + -20n) Solving 30 + 2n = 8 + -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. 30 + 2n + 20n = 8 + -20n + 20n Combine like terms: 2n + 20n = 22n 30 + 22n = 8 + -20n + 20n Combine like terms: -20n + 20n = 0 30 + 22n = 8 + 0 30 + 22n = 8 Add '-30' to each side of the equation. 30 + -30 + 22n = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 22n = 8 + -30 22n = 8 + -30 Combine like terms: 8 + -30 = -22 22n = -22 Divide each side by '22'. n = -1 Simplifying n = -1
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