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Simplifying 3(z + -2) + 7z + -4 = 0 Reorder the terms: 3(-2 + z) + 7z + -4 = 0 (-2 * 3 + z * 3) + 7z + -4 = 0 (-6 + 3z) + 7z + -4 = 0 Reorder the terms: -6 + -4 + 3z + 7z = 0 Combine like terms: -6 + -4 = -10 -10 + 3z + 7z = 0 Combine like terms: 3z + 7z = 10z -10 + 10z = 0 Solving -10 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 10z = 0 + 10 10z = 0 + 10 Combine like terms: 0 + 10 = 10 10z = 10 Divide each side by '10'. z = 1 Simplifying z = 1
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