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Simplifying 5n + 34 = -4(1 + -7n) Reorder the terms: 34 + 5n = -4(1 + -7n) 34 + 5n = (1 * -4 + -7n * -4) 34 + 5n = (-4 + 28n) Solving 34 + 5n = -4 + 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 + 5n + -28n = -4 + 28n + -28n Combine like terms: 5n + -28n = -23n 34 + -23n = -4 + 28n + -28n Combine like terms: 28n + -28n = 0 34 + -23n = -4 + 0 34 + -23n = -4 Add '-34' to each side of the equation. 34 + -34 + -23n = -4 + -34 Combine like terms: 34 + -34 = 0 0 + -23n = -4 + -34 -23n = -4 + -34 Combine like terms: -4 + -34 = -38 -23n = -38 Divide each side by '-23'. n = 1.652173913 Simplifying n = 1.652173913
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