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Simplifying -32 + -6n = -6n + -4(n + 3) Reorder the terms: -32 + -6n = -6n + -4(3 + n) -32 + -6n = -6n + (3 * -4 + n * -4) -32 + -6n = -6n + (-12 + -4n) Reorder the terms: -32 + -6n = -12 + -6n + -4n Combine like terms: -6n + -4n = -10n -32 + -6n = -12 + -10n Solving -32 + -6n = -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 + -6n + 10n = -12 + -10n + 10n Combine like terms: -6n + 10n = 4n -32 + 4n = -12 + -10n + 10n Combine like terms: -10n + 10n = 0 -32 + 4n = -12 + 0 -32 + 4n = -12 Add '32' to each side of the equation. -32 + 32 + 4n = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 4n = -12 + 32 4n = -12 + 32 Combine like terms: -12 + 32 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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