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Simplifying 4n + 34 = -1(n + -4) Reorder the terms: 34 + 4n = -1(n + -4) Reorder the terms: 34 + 4n = -1(-4 + n) 34 + 4n = (-4 * -1 + n * -1) 34 + 4n = (4 + -1n) Solving 34 + 4n = 4 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 34 + 4n + n = 4 + -1n + n Combine like terms: 4n + n = 5n 34 + 5n = 4 + -1n + n Combine like terms: -1n + n = 0 34 + 5n = 4 + 0 34 + 5n = 4 Add '-34' to each side of the equation. 34 + -34 + 5n = 4 + -34 Combine like terms: 34 + -34 = 0 0 + 5n = 4 + -34 5n = 4 + -34 Combine like terms: 4 + -34 = -30 5n = -30 Divide each side by '5'. n = -6 Simplifying n = -6
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