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Simplifying -52 = 4(3n + -1) Reorder the terms: -52 = 4(-1 + 3n) -52 = (-1 * 4 + 3n * 4) -52 = (-4 + 12n) Solving -52 = -4 + 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. -52 + -12n = -4 + 12n + -12n Combine like terms: 12n + -12n = 0 -52 + -12n = -4 + 0 -52 + -12n = -4 Add '52' to each side of the equation. -52 + 52 + -12n = -4 + 52 Combine like terms: -52 + 52 = 0 0 + -12n = -4 + 52 -12n = -4 + 52 Combine like terms: -4 + 52 = 48 -12n = 48 Divide each side by '-12'. n = -4 Simplifying n = -4
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