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Simplifying 3(z + -4) + -1(-7z + -7) = 9z Reorder the terms: 3(-4 + z) + -1(-7z + -7) = 9z (-4 * 3 + z * 3) + -1(-7z + -7) = 9z (-12 + 3z) + -1(-7z + -7) = 9z Reorder the terms: -12 + 3z + -1(-7 + -7z) = 9z -12 + 3z + (-7 * -1 + -7z * -1) = 9z -12 + 3z + (7 + 7z) = 9z Reorder the terms: -12 + 7 + 3z + 7z = 9z Combine like terms: -12 + 7 = -5 -5 + 3z + 7z = 9z Combine like terms: 3z + 7z = 10z -5 + 10z = 9z Solving -5 + 10z = 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -5 + 10z + -9z = 9z + -9z Combine like terms: 10z + -9z = 1z -5 + 1z = 9z + -9z Combine like terms: 9z + -9z = 0 -5 + 1z = 0 Add '5' to each side of the equation. -5 + 5 + 1z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1z = 0 + 5 1z = 0 + 5 Combine like terms: 0 + 5 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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