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Simplifying -12(n + 7) = 3(n + -53) Reorder the terms: -12(7 + n) = 3(n + -53) (7 * -12 + n * -12) = 3(n + -53) (-84 + -12n) = 3(n + -53) Reorder the terms: -84 + -12n = 3(-53 + n) -84 + -12n = (-53 * 3 + n * 3) -84 + -12n = (-159 + 3n) Solving -84 + -12n = -159 + 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. -84 + -12n + -3n = -159 + 3n + -3n Combine like terms: -12n + -3n = -15n -84 + -15n = -159 + 3n + -3n Combine like terms: 3n + -3n = 0 -84 + -15n = -159 + 0 -84 + -15n = -159 Add '84' to each side of the equation. -84 + 84 + -15n = -159 + 84 Combine like terms: -84 + 84 = 0 0 + -15n = -159 + 84 -15n = -159 + 84 Combine like terms: -159 + 84 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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