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Simplifying 10z + -30 = 6(z + -5) Reorder the terms: -30 + 10z = 6(z + -5) Reorder the terms: -30 + 10z = 6(-5 + z) -30 + 10z = (-5 * 6 + z * 6) -30 + 10z = (-30 + 6z) Add '30' to each side of the equation. -30 + 30 + 10z = -30 + 30 + 6z Combine like terms: -30 + 30 = 0 0 + 10z = -30 + 30 + 6z 10z = -30 + 30 + 6z Combine like terms: -30 + 30 = 0 10z = 0 + 6z 10z = 6z Solving 10z = 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. 10z + -6z = 6z + -6z Combine like terms: 10z + -6z = 4z 4z = 6z + -6z Combine like terms: 6z + -6z = 0 4z = 0 Divide each side by '4'. z = 0 Simplifying z = 0
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