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Simplifying 7z + -4 + 6(2z + -9) = 0 Reorder the terms: 7z + -4 + 6(-9 + 2z) = 0 7z + -4 + (-9 * 6 + 2z * 6) = 0 7z + -4 + (-54 + 12z) = 0 Reorder the terms: -4 + -54 + 7z + 12z = 0 Combine like terms: -4 + -54 = -58 -58 + 7z + 12z = 0 Combine like terms: 7z + 12z = 19z -58 + 19z = 0 Solving -58 + 19z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 19z = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 19z = 0 + 58 19z = 0 + 58 Combine like terms: 0 + 58 = 58 19z = 58 Divide each side by '19'. z = 3.052631579 Simplifying z = 3.052631579
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