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Simplifying -6 + 4(1 + 2n) = -9 + 7n -6 + (1 * 4 + 2n * 4) = -9 + 7n -6 + (4 + 8n) = -9 + 7n Combine like terms: -6 + 4 = -2 -2 + 8n = -9 + 7n Solving -2 + 8n = -9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 8n + -7n = -9 + 7n + -7n Combine like terms: 8n + -7n = 1n -2 + 1n = -9 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 1n = -9 + 0 -2 + 1n = -9 Add '2' to each side of the equation. -2 + 2 + 1n = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = -9 + 2 1n = -9 + 2 Combine like terms: -9 + 2 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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