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Simplifying 4(-7n + -5) = 12 + 4n Reorder the terms: 4(-5 + -7n) = 12 + 4n (-5 * 4 + -7n * 4) = 12 + 4n (-20 + -28n) = 12 + 4n Solving -20 + -28n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -20 + -28n + -4n = 12 + 4n + -4n Combine like terms: -28n + -4n = -32n -20 + -32n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -20 + -32n = 12 + 0 -20 + -32n = 12 Add '20' to each side of the equation. -20 + 20 + -32n = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -32n = 12 + 20 -32n = 12 + 20 Combine like terms: 12 + 20 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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