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Simplifying 8 + -5z = -6(z + -3) Reorder the terms: 8 + -5z = -6(-3 + z) 8 + -5z = (-3 * -6 + z * -6) 8 + -5z = (18 + -6z) Solving 8 + -5z = 18 + -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. 8 + -5z + 6z = 18 + -6z + 6z Combine like terms: -5z + 6z = 1z 8 + 1z = 18 + -6z + 6z Combine like terms: -6z + 6z = 0 8 + 1z = 18 + 0 8 + 1z = 18 Add '-8' to each side of the equation. 8 + -8 + 1z = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 18 + -8 1z = 18 + -8 Combine like terms: 18 + -8 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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