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Simplifying -10z = -6(z + 5) Reorder the terms: -10z = -6(5 + z) -10z = (5 * -6 + z * -6) -10z = (-30 + -6z) Solving -10z = -30 + -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 = -30 + -6z + 6z Combine like terms: -10z + 6z = -4z -4z = -30 + -6z + 6z Combine like terms: -6z + 6z = 0 -4z = -30 + 0 -4z = -30 Divide each side by '-4'. z = 7.5 Simplifying z = 7.5
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