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Simplifying (-2z + -4n) + -1(7z + -12n) = 0 Reorder the terms: (-4n + -2z) + -1(7z + -12n) = 0 Remove parenthesis around (-4n + -2z) -4n + -2z + -1(7z + -12n) = 0 Reorder the terms: -4n + -2z + -1(-12n + 7z) = 0 -4n + -2z + (-12n * -1 + 7z * -1) = 0 -4n + -2z + (12n + -7z) = 0 Reorder the terms: -4n + 12n + -2z + -7z = 0 Combine like terms: -4n + 12n = 8n 8n + -2z + -7z = 0 Combine like terms: -2z + -7z = -9z 8n + -9z = 0 Solving 8n + -9z = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9z' to each side of the equation. 8n + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 8n + 0 = 0 + 9z 8n = 0 + 9z Remove the zero: 8n = 9z Divide each side by '8'. n = 1.125z Simplifying n = 1.125z
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