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Simplifying (5n + -18) = (n + 10) + (157 + 5n) Reorder the terms: (-18 + 5n) = (n + 10) + (157 + 5n) Remove parenthesis around (-18 + 5n) -18 + 5n = (n + 10) + (157 + 5n) Reorder the terms: -18 + 5n = (10 + n) + (157 + 5n) Remove parenthesis around (10 + n) -18 + 5n = 10 + n + (157 + 5n) Remove parenthesis around (157 + 5n) -18 + 5n = 10 + n + 157 + 5n Reorder the terms: -18 + 5n = 10 + 157 + n + 5n Combine like terms: 10 + 157 = 167 -18 + 5n = 167 + n + 5n Combine like terms: n + 5n = 6n -18 + 5n = 167 + 6n Solving -18 + 5n = 167 + 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. -18 + 5n + -6n = 167 + 6n + -6n Combine like terms: 5n + -6n = -1n -18 + -1n = 167 + 6n + -6n Combine like terms: 6n + -6n = 0 -18 + -1n = 167 + 0 -18 + -1n = 167 Add '18' to each side of the equation. -18 + 18 + -1n = 167 + 18 Combine like terms: -18 + 18 = 0 0 + -1n = 167 + 18 -1n = 167 + 18 Combine like terms: 167 + 18 = 185 -1n = 185 Divide each side by '-1'. n = -185 Simplifying n = -185
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