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Simplifying 8(3n + -2) + -5(3 + -4n) = 8(2n + -3) Reorder the terms: 8(-2 + 3n) + -5(3 + -4n) = 8(2n + -3) (-2 * 8 + 3n * 8) + -5(3 + -4n) = 8(2n + -3) (-16 + 24n) + -5(3 + -4n) = 8(2n + -3) -16 + 24n + (3 * -5 + -4n * -5) = 8(2n + -3) -16 + 24n + (-15 + 20n) = 8(2n + -3) Reorder the terms: -16 + -15 + 24n + 20n = 8(2n + -3) Combine like terms: -16 + -15 = -31 -31 + 24n + 20n = 8(2n + -3) Combine like terms: 24n + 20n = 44n -31 + 44n = 8(2n + -3) Reorder the terms: -31 + 44n = 8(-3 + 2n) -31 + 44n = (-3 * 8 + 2n * 8) -31 + 44n = (-24 + 16n) Solving -31 + 44n = -24 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -31 + 44n + -16n = -24 + 16n + -16n Combine like terms: 44n + -16n = 28n -31 + 28n = -24 + 16n + -16n Combine like terms: 16n + -16n = 0 -31 + 28n = -24 + 0 -31 + 28n = -24 Add '31' to each side of the equation. -31 + 31 + 28n = -24 + 31 Combine like terms: -31 + 31 = 0 0 + 28n = -24 + 31 28n = -24 + 31 Combine like terms: -24 + 31 = 7 28n = 7 Divide each side by '28'. n = 0.25 Simplifying n = 0.25
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