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Simplifying 4n + 34 = -21(1 + 7n) Reorder the terms: 34 + 4n = -21(1 + 7n) 34 + 4n = (1 * -21 + 7n * -21) 34 + 4n = (-21 + -147n) Solving 34 + 4n = -21 + -147n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '147n' to each side of the equation. 34 + 4n + 147n = -21 + -147n + 147n Combine like terms: 4n + 147n = 151n 34 + 151n = -21 + -147n + 147n Combine like terms: -147n + 147n = 0 34 + 151n = -21 + 0 34 + 151n = -21 Add '-34' to each side of the equation. 34 + -34 + 151n = -21 + -34 Combine like terms: 34 + -34 = 0 0 + 151n = -21 + -34 151n = -21 + -34 Combine like terms: -21 + -34 = -55 151n = -55 Divide each side by '151'. n = -0.3642384106 Simplifying n = -0.3642384106
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