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Simplifying 5 + 6z = 2(z + -1) Reorder the terms: 5 + 6z = 2(-1 + z) 5 + 6z = (-1 * 2 + z * 2) 5 + 6z = (-2 + 2z) Solving 5 + 6z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 5 + 6z + -2z = -2 + 2z + -2z Combine like terms: 6z + -2z = 4z 5 + 4z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 5 + 4z = -2 + 0 5 + 4z = -2 Add '-5' to each side of the equation. 5 + -5 + 4z = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = -2 + -5 4z = -2 + -5 Combine like terms: -2 + -5 = -7 4z = -7 Divide each side by '4'. z = -1.75 Simplifying z = -1.75
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