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Simplifying 6 + -5z = 9 + -1(6z + 7) Reorder the terms: 6 + -5z = 9 + -1(7 + 6z) 6 + -5z = 9 + (7 * -1 + 6z * -1) 6 + -5z = 9 + (-7 + -6z) Combine like terms: 9 + -7 = 2 6 + -5z = 2 + -6z Solving 6 + -5z = 2 + -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. 6 + -5z + 6z = 2 + -6z + 6z Combine like terms: -5z + 6z = 1z 6 + 1z = 2 + -6z + 6z Combine like terms: -6z + 6z = 0 6 + 1z = 2 + 0 6 + 1z = 2 Add '-6' to each side of the equation. 6 + -6 + 1z = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1z = 2 + -6 1z = 2 + -6 Combine like terms: 2 + -6 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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