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Simplifying -32 + 2n = 6(8 + 2n) -32 + 2n = (8 * 6 + 2n * 6) -32 + 2n = (48 + 12n) Solving -32 + 2n = 48 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -32 + 2n + -12n = 48 + 12n + -12n Combine like terms: 2n + -12n = -10n -32 + -10n = 48 + 12n + -12n Combine like terms: 12n + -12n = 0 -32 + -10n = 48 + 0 -32 + -10n = 48 Add '32' to each side of the equation. -32 + 32 + -10n = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -10n = 48 + 32 -10n = 48 + 32 Combine like terms: 48 + 32 = 80 -10n = 80 Divide each side by '-10'. n = -8 Simplifying n = -8
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