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Simplifying 3z + 2(6 + -2) = -1(z + -5) + 5 Combine like terms: 6 + -2 = 4 3z + 2(4) = -1(z + -5) + 5 Multiply 2 * 4 3z + 8 = -1(z + -5) + 5 Reorder the terms: 8 + 3z = -1(z + -5) + 5 Reorder the terms: 8 + 3z = -1(-5 + z) + 5 8 + 3z = (-5 * -1 + z * -1) + 5 8 + 3z = (5 + -1z) + 5 Reorder the terms: 8 + 3z = 5 + 5 + -1z Combine like terms: 5 + 5 = 10 8 + 3z = 10 + -1z Solving 8 + 3z = 10 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 8 + 3z + z = 10 + -1z + z Combine like terms: 3z + z = 4z 8 + 4z = 10 + -1z + z Combine like terms: -1z + z = 0 8 + 4z = 10 + 0 8 + 4z = 10 Add '-8' to each side of the equation. 8 + -8 + 4z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 4z = 10 + -8 4z = 10 + -8 Combine like terms: 10 + -8 = 2 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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