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Simplifying 5 + -6(2n + -4) = -7n + 34 Reorder the terms: 5 + -6(-4 + 2n) = -7n + 34 5 + (-4 * -6 + 2n * -6) = -7n + 34 5 + (24 + -12n) = -7n + 34 Combine like terms: 5 + 24 = 29 29 + -12n = -7n + 34 Reorder the terms: 29 + -12n = 34 + -7n Solving 29 + -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. 29 + -12n + 7n = 34 + -7n + 7n Combine like terms: -12n + 7n = -5n 29 + -5n = 34 + -7n + 7n Combine like terms: -7n + 7n = 0 29 + -5n = 34 + 0 29 + -5n = 34 Add '-29' to each side of the equation. 29 + -29 + -5n = 34 + -29 Combine like terms: 29 + -29 = 0 0 + -5n = 34 + -29 -5n = 34 + -29 Combine like terms: 34 + -29 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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