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Simplifying -6n + 34 = 4(-7n + -8) Reorder the terms: 34 + -6n = 4(-7n + -8) Reorder the terms: 34 + -6n = 4(-8 + -7n) 34 + -6n = (-8 * 4 + -7n * 4) 34 + -6n = (-32 + -28n) Solving 34 + -6n = -32 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 34 + -6n + 28n = -32 + -28n + 28n Combine like terms: -6n + 28n = 22n 34 + 22n = -32 + -28n + 28n Combine like terms: -28n + 28n = 0 34 + 22n = -32 + 0 34 + 22n = -32 Add '-34' to each side of the equation. 34 + -34 + 22n = -32 + -34 Combine like terms: 34 + -34 = 0 0 + 22n = -32 + -34 22n = -32 + -34 Combine like terms: -32 + -34 = -66 22n = -66 Divide each side by '22'. n = -3 Simplifying n = -3
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