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Simplifying 30 + -7n = n + -2(1 + 8n) 30 + -7n = n + (1 * -2 + 8n * -2) 30 + -7n = n + (-2 + -16n) Reorder the terms: 30 + -7n = -2 + n + -16n Combine like terms: n + -16n = -15n 30 + -7n = -2 + -15n Solving 30 + -7n = -2 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 30 + -7n + 15n = -2 + -15n + 15n Combine like terms: -7n + 15n = 8n 30 + 8n = -2 + -15n + 15n Combine like terms: -15n + 15n = 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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