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Simplifying 5n + -1(8n + 4n) = 3(3n + -4) Combine like terms: 8n + 4n = 12n 5n + -1(12n) = 3(3n + -4) Remove parenthesis around (12n) 5n + -1 * 12n = 3(3n + -4) Multiply -1 * 12 5n + -12n = 3(3n + -4) Combine like terms: 5n + -12n = -7n -7n = 3(3n + -4) Reorder the terms: -7n = 3(-4 + 3n) -7n = (-4 * 3 + 3n * 3) -7n = (-12 + 9n) Solving -7n = -12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -7n + -9n = -12 + 9n + -9n Combine like terms: -7n + -9n = -16n -16n = -12 + 9n + -9n Combine like terms: 9n + -9n = 0 -16n = -12 + 0 -16n = -12 Divide each side by '-16'. n = 0.75 Simplifying n = 0.75
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