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Simplifying -8(4n + 3) + -5(6 + -7n) = -48 Reorder the terms: -8(3 + 4n) + -5(6 + -7n) = -48 (3 * -8 + 4n * -8) + -5(6 + -7n) = -48 (-24 + -32n) + -5(6 + -7n) = -48 -24 + -32n + (6 * -5 + -7n * -5) = -48 -24 + -32n + (-30 + 35n) = -48 Reorder the terms: -24 + -30 + -32n + 35n = -48 Combine like terms: -24 + -30 = -54 -54 + -32n + 35n = -48 Combine like terms: -32n + 35n = 3n -54 + 3n = -48 Solving -54 + 3n = -48 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 3n = -48 + 54 Combine like terms: -54 + 54 = 0 0 + 3n = -48 + 54 3n = -48 + 54 Combine like terms: -48 + 54 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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