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Simplifying (n + -12) * 2 = n + 16 Reorder the terms: (-12 + n) * 2 = n + 16 Reorder the terms for easier multiplication: 2(-12 + n) = n + 16 (-12 * 2 + n * 2) = n + 16 (-24 + 2n) = n + 16 Reorder the terms: -24 + 2n = 16 + n Solving -24 + 2n = 16 + n 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. -24 + 2n + -1n = 16 + n + -1n Combine like terms: 2n + -1n = 1n -24 + 1n = 16 + n + -1n Combine like terms: n + -1n = 0 -24 + 1n = 16 + 0 -24 + 1n = 16 Add '24' to each side of the equation. -24 + 24 + 1n = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 1n = 16 + 24 1n = 16 + 24 Combine like terms: 16 + 24 = 40 1n = 40 Divide each side by '1'. n = 40 Simplifying n = 40
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