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Simplifying -8(-4n + 3) = 7n + 12 Reorder the terms: -8(3 + -4n) = 7n + 12 (3 * -8 + -4n * -8) = 7n + 12 (-24 + 32n) = 7n + 12 Reorder the terms: -24 + 32n = 12 + 7n Solving -24 + 32n = 12 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -24 + 32n + -7n = 12 + 7n + -7n Combine like terms: 32n + -7n = 25n -24 + 25n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + 25n = 12 + 0 -24 + 25n = 12 Add '24' to each side of the equation. -24 + 24 + 25n = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 25n = 12 + 24 25n = 12 + 24 Combine like terms: 12 + 24 = 36 25n = 36 Divide each side by '25'. n = 1.44 Simplifying n = 1.44
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