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Simplifying -32 + -7n + -12 = 3n Reorder the terms: -32 + -12 + -7n = 3n Combine like terms: -32 + -12 = -44 -44 + -7n = 3n Solving -44 + -7n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -44 + -7n + -3n = 3n + -3n Combine like terms: -7n + -3n = -10n -44 + -10n = 3n + -3n Combine like terms: 3n + -3n = 0 -44 + -10n = 0 Add '44' to each side of the equation. -44 + 44 + -10n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -10n = 0 + 44 -10n = 0 + 44 Combine like terms: 0 + 44 = 44 -10n = 44 Divide each side by '-10'. n = -4.4 Simplifying n = -4.4
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