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