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Simplifying -4(n + 5) = 6n + -6(n + 2) Reorder the terms: -4(5 + n) = 6n + -6(n + 2) (5 * -4 + n * -4) = 6n + -6(n + 2) (-20 + -4n) = 6n + -6(n + 2) Reorder the terms: -20 + -4n = 6n + -6(2 + n) -20 + -4n = 6n + (2 * -6 + n * -6) -20 + -4n = 6n + (-12 + -6n) Reorder the terms: -20 + -4n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 -20 + -4n = -12 + 0 -20 + -4n = -12 Solving -20 + -4n = -12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -4n = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -4n = -12 + 20 -4n = -12 + 20 Combine like terms: -12 + 20 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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