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Simplifying (6n + -70) = (2n + 100) Reorder the terms: (-70 + 6n) = (2n + 100) Remove parenthesis around (-70 + 6n) -70 + 6n = (2n + 100) Reorder the terms: -70 + 6n = (100 + 2n) Remove parenthesis around (100 + 2n) -70 + 6n = 100 + 2n Solving -70 + 6n = 100 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -70 + 6n + -2n = 100 + 2n + -2n Combine like terms: 6n + -2n = 4n -70 + 4n = 100 + 2n + -2n Combine like terms: 2n + -2n = 0 -70 + 4n = 100 + 0 -70 + 4n = 100 Add '70' to each side of the equation. -70 + 70 + 4n = 100 + 70 Combine like terms: -70 + 70 = 0 0 + 4n = 100 + 70 4n = 100 + 70 Combine like terms: 100 + 70 = 170 4n = 170 Divide each side by '4'. n = 42.5 Simplifying n = 42.5
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