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Simplifying -6(6n + 4) = -7n + 34 Reorder the terms: -6(4 + 6n) = -7n + 34 (4 * -6 + 6n * -6) = -7n + 34 (-24 + -36n) = -7n + 34 Reorder the terms: -24 + -36n = 34 + -7n Solving -24 + -36n = 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. -24 + -36n + 7n = 34 + -7n + 7n Combine like terms: -36n + 7n = -29n -24 + -29n = 34 + -7n + 7n Combine like terms: -7n + 7n = 0 -24 + -29n = 34 + 0 -24 + -29n = 34 Add '24' to each side of the equation. -24 + 24 + -29n = 34 + 24 Combine like terms: -24 + 24 = 0 0 + -29n = 34 + 24 -29n = 34 + 24 Combine like terms: 34 + 24 = 58 -29n = 58 Divide each side by '-29'. n = -2 Simplifying n = -2
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