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Simplifying 6(3 + -2z) = 23 + -7z (3 * 6 + -2z * 6) = 23 + -7z (18 + -12z) = 23 + -7z Solving 18 + -12z = 23 + -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. 18 + -12z + 7z = 23 + -7z + 7z Combine like terms: -12z + 7z = -5z 18 + -5z = 23 + -7z + 7z Combine like terms: -7z + 7z = 0 18 + -5z = 23 + 0 18 + -5z = 23 Add '-18' to each side of the equation. 18 + -18 + -5z = 23 + -18 Combine like terms: 18 + -18 = 0 0 + -5z = 23 + -18 -5z = 23 + -18 Combine like terms: 23 + -18 = 5 -5z = 5 Divide each side by '-5'. z = -1 Simplifying z = -1
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