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Simplifying 8(8n + -3) + -4(8n + 5) = -7n + -5n Reorder the terms: 8(-3 + 8n) + -4(8n + 5) = -7n + -5n (-3 * 8 + 8n * 8) + -4(8n + 5) = -7n + -5n (-24 + 64n) + -4(8n + 5) = -7n + -5n Reorder the terms: -24 + 64n + -4(5 + 8n) = -7n + -5n -24 + 64n + (5 * -4 + 8n * -4) = -7n + -5n -24 + 64n + (-20 + -32n) = -7n + -5n Reorder the terms: -24 + -20 + 64n + -32n = -7n + -5n Combine like terms: -24 + -20 = -44 -44 + 64n + -32n = -7n + -5n Combine like terms: 64n + -32n = 32n -44 + 32n = -7n + -5n Combine like terms: -7n + -5n = -12n -44 + 32n = -12n Solving -44 + 32n = -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -44 + 32n + 12n = -12n + 12n Combine like terms: 32n + 12n = 44n -44 + 44n = -12n + 12n Combine like terms: -12n + 12n = 0 -44 + 44n = 0 Add '44' to each side of the equation. -44 + 44 + 44n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 44n = 0 + 44 44n = 0 + 44 Combine like terms: 0 + 44 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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