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Simplifying 32 + 2n = 6(n + 8) Reorder the terms: 32 + 2n = 6(8 + n) 32 + 2n = (8 * 6 + n * 6) 32 + 2n = (48 + 6n) Solving 32 + 2n = 48 + 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. 32 + 2n + -6n = 48 + 6n + -6n Combine like terms: 2n + -6n = -4n 32 + -4n = 48 + 6n + -6n Combine like terms: 6n + -6n = 0 32 + -4n = 48 + 0 32 + -4n = 48 Add '-32' to each side of the equation. 32 + -32 + -4n = 48 + -32 Combine like terms: 32 + -32 = 0 0 + -4n = 48 + -32 -4n = 48 + -32 Combine like terms: 48 + -32 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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