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Simplifying 4(-8n + -3) + 4n = -6(5n + -3) Reorder the terms: 4(-3 + -8n) + 4n = -6(5n + -3) (-3 * 4 + -8n * 4) + 4n = -6(5n + -3) (-12 + -32n) + 4n = -6(5n + -3) Combine like terms: -32n + 4n = -28n -12 + -28n = -6(5n + -3) Reorder the terms: -12 + -28n = -6(-3 + 5n) -12 + -28n = (-3 * -6 + 5n * -6) -12 + -28n = (18 + -30n) Solving -12 + -28n = 18 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -12 + -28n + 30n = 18 + -30n + 30n Combine like terms: -28n + 30n = 2n -12 + 2n = 18 + -30n + 30n Combine like terms: -30n + 30n = 0 -12 + 2n = 18 + 0 -12 + 2n = 18 Add '12' to each side of the equation. -12 + 12 + 2n = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = 18 + 12 2n = 18 + 12 Combine like terms: 18 + 12 = 30 2n = 30 Divide each side by '2'. n = 15 Simplifying n = 15
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