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Simplifying 2(-2n + -4) = -3(1 + 3n) Reorder the terms: 2(-4 + -2n) = -3(1 + 3n) (-4 * 2 + -2n * 2) = -3(1 + 3n) (-8 + -4n) = -3(1 + 3n) -8 + -4n = (1 * -3 + 3n * -3) -8 + -4n = (-3 + -9n) Solving -8 + -4n = -3 + -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. -8 + -4n + 9n = -3 + -9n + 9n Combine like terms: -4n + 9n = 5n -8 + 5n = -3 + -9n + 9n Combine like terms: -9n + 9n = 0 -8 + 5n = -3 + 0 -8 + 5n = -3 Add '8' to each side of the equation. -8 + 8 + 5n = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 5n = -3 + 8 5n = -3 + 8 Combine like terms: -3 + 8 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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