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Simplifying 2(3n + -4) + 4(2n + -3) = -2(n + 5) Reorder the terms: 2(-4 + 3n) + 4(2n + -3) = -2(n + 5) (-4 * 2 + 3n * 2) + 4(2n + -3) = -2(n + 5) (-8 + 6n) + 4(2n + -3) = -2(n + 5) Reorder the terms: -8 + 6n + 4(-3 + 2n) = -2(n + 5) -8 + 6n + (-3 * 4 + 2n * 4) = -2(n + 5) -8 + 6n + (-12 + 8n) = -2(n + 5) Reorder the terms: -8 + -12 + 6n + 8n = -2(n + 5) Combine like terms: -8 + -12 = -20 -20 + 6n + 8n = -2(n + 5) Combine like terms: 6n + 8n = 14n -20 + 14n = -2(n + 5) Reorder the terms: -20 + 14n = -2(5 + n) -20 + 14n = (5 * -2 + n * -2) -20 + 14n = (-10 + -2n) Solving -20 + 14n = -10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -20 + 14n + 2n = -10 + -2n + 2n Combine like terms: 14n + 2n = 16n -20 + 16n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 -20 + 16n = -10 + 0 -20 + 16n = -10 Add '20' to each side of the equation. -20 + 20 + 16n = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 16n = -10 + 20 16n = -10 + 20 Combine like terms: -10 + 20 = 10 16n = 10 Divide each side by '16'. n = 0.625 Simplifying n = 0.625
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