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Simplifying 16 + -1(n + 18) = 3n + 10 + -2n Reorder the terms: 16 + -1(18 + n) = 3n + 10 + -2n 16 + (18 * -1 + n * -1) = 3n + 10 + -2n 16 + (-18 + -1n) = 3n + 10 + -2n Combine like terms: 16 + -18 = -2 -2 + -1n = 3n + 10 + -2n Reorder the terms: -2 + -1n = 10 + 3n + -2n Combine like terms: 3n + -2n = 1n -2 + -1n = 10 + 1n Solving -2 + -1n = 10 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + -1n + -1n = 10 + 1n + -1n Combine like terms: -1n + -1n = -2n -2 + -2n = 10 + 1n + -1n Combine like terms: 1n + -1n = 0 -2 + -2n = 10 + 0 -2 + -2n = 10 Add '2' to each side of the equation. -2 + 2 + -2n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 10 + 2 -2n = 10 + 2 Combine like terms: 10 + 2 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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