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Simplifying -4(6n + 5) = -4(7n + 3) Reorder the terms: -4(5 + 6n) = -4(7n + 3) (5 * -4 + 6n * -4) = -4(7n + 3) (-20 + -24n) = -4(7n + 3) Reorder the terms: -20 + -24n = -4(3 + 7n) -20 + -24n = (3 * -4 + 7n * -4) -20 + -24n = (-12 + -28n) Solving -20 + -24n = -12 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -20 + -24n + 28n = -12 + -28n + 28n Combine like terms: -24n + 28n = 4n -20 + 4n = -12 + -28n + 28n Combine like terms: -28n + 28n = 0 -20 + 4n = -12 + 0 -20 + 4n = -12 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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