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Simplifying -32 = 7n + -12 + 3n Reorder the terms: -32 = -12 + 7n + 3n Combine like terms: 7n + 3n = 10n -32 = -12 + 10n Solving -32 = -12 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -32 + -10n = -12 + 10n + -10n Combine like terms: 10n + -10n = 0 -32 + -10n = -12 + 0 -32 + -10n = -12 Add '32' to each side of the equation. -32 + 32 + -10n = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -10n = -12 + 32 -10n = -12 + 32 Combine like terms: -12 + 32 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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