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Simplifying 2z + -2 = 5 + -1(9 + -6z) Reorder the terms: -2 + 2z = 5 + -1(9 + -6z) -2 + 2z = 5 + (9 * -1 + -6z * -1) -2 + 2z = 5 + (-9 + 6z) Combine like terms: 5 + -9 = -4 -2 + 2z = -4 + 6z Solving -2 + 2z = -4 + 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. -2 + 2z + -6z = -4 + 6z + -6z Combine like terms: 2z + -6z = -4z -2 + -4z = -4 + 6z + -6z Combine like terms: 6z + -6z = 0 -2 + -4z = -4 + 0 -2 + -4z = -4 Add '2' to each side of the equation. -2 + 2 + -4z = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = -4 + 2 -4z = -4 + 2 Combine like terms: -4 + 2 = -2 -4z = -2 Divide each side by '-4'. z = 0.5 Simplifying z = 0.5
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