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Simplifying 3(z + -2) + 7z + -1 = 0 Reorder the terms: 3(-2 + z) + 7z + -1 = 0 (-2 * 3 + z * 3) + 7z + -1 = 0 (-6 + 3z) + 7z + -1 = 0 Reorder the terms: -6 + -1 + 3z + 7z = 0 Combine like terms: -6 + -1 = -7 -7 + 3z + 7z = 0 Combine like terms: 3z + 7z = 10z -7 + 10z = 0 Solving -7 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10z = 0 + 7 10z = 0 + 7 Combine like terms: 0 + 7 = 7 10z = 7 Divide each side by '10'. z = 0.7 Simplifying z = 0.7
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