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Simplifying 2(3n + -4) + 3(-2n + -3) = -2(n + 5) Reorder the terms: 2(-4 + 3n) + 3(-2n + -3) = -2(n + 5) (-4 * 2 + 3n * 2) + 3(-2n + -3) = -2(n + 5) (-8 + 6n) + 3(-2n + -3) = -2(n + 5) Reorder the terms: -8 + 6n + 3(-3 + -2n) = -2(n + 5) -8 + 6n + (-3 * 3 + -2n * 3) = -2(n + 5) -8 + 6n + (-9 + -6n) = -2(n + 5) Reorder the terms: -8 + -9 + 6n + -6n = -2(n + 5) Combine like terms: -8 + -9 = -17 -17 + 6n + -6n = -2(n + 5) Combine like terms: 6n + -6n = 0 -17 + 0 = -2(n + 5) -17 = -2(n + 5) Reorder the terms: -17 = -2(5 + n) -17 = (5 * -2 + n * -2) -17 = (-10 + -2n) Solving -17 = -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. -17 + 2n = -10 + -2n + 2n Combine like terms: -2n + 2n = 0 -17 + 2n = -10 + 0 -17 + 2n = -10 Add '17' to each side of the equation. -17 + 17 + 2n = -10 + 17 Combine like terms: -17 + 17 = 0 0 + 2n = -10 + 17 2n = -10 + 17 Combine like terms: -10 + 17 = 7 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5
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