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Simplifying 30 + -2n = -4(n + -6) Reorder the terms: 30 + -2n = -4(-6 + n) 30 + -2n = (-6 * -4 + n * -4) 30 + -2n = (24 + -4n) Solving 30 + -2n = 24 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 30 + -2n + 4n = 24 + -4n + 4n Combine like terms: -2n + 4n = 2n 30 + 2n = 24 + -4n + 4n Combine like terms: -4n + 4n = 0 30 + 2n = 24 + 0 30 + 2n = 24 Add '-30' to each side of the equation. 30 + -30 + 2n = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 2n = 24 + -30 2n = 24 + -30 Combine like terms: 24 + -30 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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