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Simplifying 2(6z + -4) = 29 + 7z Reorder the terms: 2(-4 + 6z) = 29 + 7z (-4 * 2 + 6z * 2) = 29 + 7z (-8 + 12z) = 29 + 7z Solving -8 + 12z = 29 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -8 + 12z + -7z = 29 + 7z + -7z Combine like terms: 12z + -7z = 5z -8 + 5z = 29 + 7z + -7z Combine like terms: 7z + -7z = 0 -8 + 5z = 29 + 0 -8 + 5z = 29 Add '8' to each side of the equation. -8 + 8 + 5z = 29 + 8 Combine like terms: -8 + 8 = 0 0 + 5z = 29 + 8 5z = 29 + 8 Combine like terms: 29 + 8 = 37 5z = 37 Divide each side by '5'. z = 7.4 Simplifying z = 7.4
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