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Simplifying -2(6n + 3) = -7n + 34 Reorder the terms: -2(3 + 6n) = -7n + 34 (3 * -2 + 6n * -2) = -7n + 34 (-6 + -12n) = -7n + 34 Reorder the terms: -6 + -12n = 34 + -7n Solving -6 + -12n = 34 + -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. -6 + -12n + 7n = 34 + -7n + 7n Combine like terms: -12n + 7n = -5n -6 + -5n = 34 + -7n + 7n Combine like terms: -7n + 7n = 0 -6 + -5n = 34 + 0 -6 + -5n = 34 Add '6' to each side of the equation. -6 + 6 + -5n = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -5n = 34 + 6 -5n = 34 + 6 Combine like terms: 34 + 6 = 40 -5n = 40 Divide each side by '-5'. n = -8 Simplifying n = -8
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