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Simplifying 4(-6z + 4) + -9(n + -4) = 0 Reorder the terms: 4(4 + -6z) + -9(n + -4) = 0 (4 * 4 + -6z * 4) + -9(n + -4) = 0 (16 + -24z) + -9(n + -4) = 0 Reorder the terms: 16 + -24z + -9(-4 + n) = 0 16 + -24z + (-4 * -9 + n * -9) = 0 16 + -24z + (36 + -9n) = 0 Reorder the terms: 16 + 36 + -9n + -24z = 0 Combine like terms: 16 + 36 = 52 52 + -9n + -24z = 0 Solving 52 + -9n + -24z = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -9n + -52 + -24z = 0 + -52 Reorder the terms: 52 + -52 + -9n + -24z = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -9n + -24z = 0 + -52 -9n + -24z = 0 + -52 Combine like terms: 0 + -52 = -52 -9n + -24z = -52 Add '24z' to each side of the equation. -9n + -24z + 24z = -52 + 24z Combine like terms: -24z + 24z = 0 -9n + 0 = -52 + 24z -9n = -52 + 24z Divide each side by '-9'. n = 5.777777778 + -2.666666667z Simplifying n = 5.777777778 + -2.666666667z
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