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Simplifying 30 + -3(n + -4) = 5(n + 4) + -2 Reorder the terms: 30 + -3(-4 + n) = 5(n + 4) + -2 30 + (-4 * -3 + n * -3) = 5(n + 4) + -2 30 + (12 + -3n) = 5(n + 4) + -2 Combine like terms: 30 + 12 = 42 42 + -3n = 5(n + 4) + -2 Reorder the terms: 42 + -3n = 5(4 + n) + -2 42 + -3n = (4 * 5 + n * 5) + -2 42 + -3n = (20 + 5n) + -2 Reorder the terms: 42 + -3n = 20 + -2 + 5n Combine like terms: 20 + -2 = 18 42 + -3n = 18 + 5n Solving 42 + -3n = 18 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 42 + -3n + -5n = 18 + 5n + -5n Combine like terms: -3n + -5n = -8n 42 + -8n = 18 + 5n + -5n Combine like terms: 5n + -5n = 0 42 + -8n = 18 + 0 42 + -8n = 18 Add '-42' to each side of the equation. 42 + -42 + -8n = 18 + -42 Combine like terms: 42 + -42 = 0 0 + -8n = 18 + -42 -8n = 18 + -42 Combine like terms: 18 + -42 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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