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Simplifying 7(4 + 5n) = -34 + 4n (4 * 7 + 5n * 7) = -34 + 4n (28 + 35n) = -34 + 4n Solving 28 + 35n = -34 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 28 + 35n + -4n = -34 + 4n + -4n Combine like terms: 35n + -4n = 31n 28 + 31n = -34 + 4n + -4n Combine like terms: 4n + -4n = 0 28 + 31n = -34 + 0 28 + 31n = -34 Add '-28' to each side of the equation. 28 + -28 + 31n = -34 + -28 Combine like terms: 28 + -28 = 0 0 + 31n = -34 + -28 31n = -34 + -28 Combine like terms: -34 + -28 = -62 31n = -62 Divide each side by '31'. n = -2 Simplifying n = -2
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