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Simplifying 2(1 + -7) = -9n + 47 Combine like terms: 1 + -7 = -6 2(-6) = -9n + 47 Multiply 2 * -6 -12 = -9n + 47 Reorder the terms: -12 = 47 + -9n Solving -12 = 47 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -12 + 9n = 47 + -9n + 9n Combine like terms: -9n + 9n = 0 -12 + 9n = 47 + 0 -12 + 9n = 47 Add '12' to each side of the equation. -12 + 12 + 9n = 47 + 12 Combine like terms: -12 + 12 = 0 0 + 9n = 47 + 12 9n = 47 + 12 Combine like terms: 47 + 12 = 59 9n = 59 Divide each side by '9'. n = 6.555555556 Simplifying n = 6.555555556
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