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Simplifying 30 + n = 4(-5n + -3) Reorder the terms: 30 + n = 4(-3 + -5n) 30 + n = (-3 * 4 + -5n * 4) 30 + n = (-12 + -20n) Solving 30 + n = -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. 30 + n + 20n = -12 + -20n + 20n Combine like terms: n + 20n = 21n 30 + 21n = -12 + -20n + 20n Combine like terms: -20n + 20n = 0 30 + 21n = -12 + 0 30 + 21n = -12 Add '-30' to each side of the equation. 30 + -30 + 21n = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 21n = -12 + -30 21n = -12 + -30 Combine like terms: -12 + -30 = -42 21n = -42 Divide each side by '21'. n = -2 Simplifying n = -2
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