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Simplifying 30 + 8n = -2(1 + -6n) + 4n 30 + 8n = (1 * -2 + -6n * -2) + 4n 30 + 8n = (-2 + 12n) + 4n Combine like terms: 12n + 4n = 16n 30 + 8n = -2 + 16n Solving 30 + 8n = -2 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 30 + 8n + -16n = -2 + 16n + -16n Combine like terms: 8n + -16n = -8n 30 + -8n = -2 + 16n + -16n Combine like terms: 16n + -16n = 0 30 + -8n = -2 + 0 30 + -8n = -2 Add '-30' to each side of the equation. 30 + -30 + -8n = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -8n = -2 + -30 -8n = -2 + -30 Combine like terms: -2 + -30 = -32 -8n = -32 Divide each side by '-8'. n = 4 Simplifying n = 4
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