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Simplifying 4(8n + -6) + -7(n + -4) = 29 Reorder the terms: 4(-6 + 8n) + -7(n + -4) = 29 (-6 * 4 + 8n * 4) + -7(n + -4) = 29 (-24 + 32n) + -7(n + -4) = 29 Reorder the terms: -24 + 32n + -7(-4 + n) = 29 -24 + 32n + (-4 * -7 + n * -7) = 29 -24 + 32n + (28 + -7n) = 29 Reorder the terms: -24 + 28 + 32n + -7n = 29 Combine like terms: -24 + 28 = 4 4 + 32n + -7n = 29 Combine like terms: 32n + -7n = 25n 4 + 25n = 29 Solving 4 + 25n = 29 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 25n = 29 + -4 Combine like terms: 4 + -4 = 0 0 + 25n = 29 + -4 25n = 29 + -4 Combine like terms: 29 + -4 = 25 25n = 25 Divide each side by '25'. n = 1 Simplifying n = 1
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