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Simplifying 5 + -9z = 12 + -1(6z + 7) Reorder the terms: 5 + -9z = 12 + -1(7 + 6z) 5 + -9z = 12 + (7 * -1 + 6z * -1) 5 + -9z = 12 + (-7 + -6z) Combine like terms: 12 + -7 = 5 5 + -9z = 5 + -6z Add '-5' to each side of the equation. 5 + -5 + -9z = 5 + -5 + -6z Combine like terms: 5 + -5 = 0 0 + -9z = 5 + -5 + -6z -9z = 5 + -5 + -6z Combine like terms: 5 + -5 = 0 -9z = 0 + -6z -9z = -6z Solving -9z = -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -9z + 6z = -6z + 6z Combine like terms: -9z + 6z = -3z -3z = -6z + 6z Combine like terms: -6z + 6z = 0 -3z = 0 Divide each side by '-3'. z = 0 Simplifying z = 0
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