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Simplifying (157 + 5n) = (n + 10) + (5n + -18) Remove parenthesis around (157 + 5n) 157 + 5n = (n + 10) + (5n + -18) Reorder the terms: 157 + 5n = (10 + n) + (5n + -18) Remove parenthesis around (10 + n) 157 + 5n = 10 + n + (5n + -18) Reorder the terms: 157 + 5n = 10 + n + (-18 + 5n) Remove parenthesis around (-18 + 5n) 157 + 5n = 10 + n + -18 + 5n Reorder the terms: 157 + 5n = 10 + -18 + n + 5n Combine like terms: 10 + -18 = -8 157 + 5n = -8 + n + 5n Combine like terms: n + 5n = 6n 157 + 5n = -8 + 6n Solving 157 + 5n = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 157 + 5n + -6n = -8 + 6n + -6n Combine like terms: 5n + -6n = -1n 157 + -1n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 157 + -1n = -8 + 0 157 + -1n = -8 Add '-157' to each side of the equation. 157 + -157 + -1n = -8 + -157 Combine like terms: 157 + -157 = 0 0 + -1n = -8 + -157 -1n = -8 + -157 Combine like terms: -8 + -157 = -165 -1n = -165 Divide each side by '-1'. n = 165 Simplifying n = 165
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