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Simplifying 5(1 + -7n) = 5 + 5n (1 * 5 + -7n * 5) = 5 + 5n (5 + -35n) = 5 + 5n Add '-5' to each side of the equation. 5 + -5 + -35n = 5 + -5 + 5n Combine like terms: 5 + -5 = 0 0 + -35n = 5 + -5 + 5n -35n = 5 + -5 + 5n Combine like terms: 5 + -5 = 0 -35n = 0 + 5n -35n = 5n Solving -35n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -35n + -5n = 5n + -5n Combine like terms: -35n + -5n = -40n -40n = 5n + -5n Combine like terms: 5n + -5n = 0 -40n = 0 Divide each side by '-40'. n = 0.0 Simplifying n = 0.0
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