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Simplifying 4 = 10(3z + -6) + -5z Reorder the terms: 4 = 10(-6 + 3z) + -5z 4 = (-6 * 10 + 3z * 10) + -5z 4 = (-60 + 30z) + -5z Combine like terms: 30z + -5z = 25z 4 = -60 + 25z Solving 4 = -60 + 25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-25z' to each side of the equation. 4 + -25z = -60 + 25z + -25z Combine like terms: 25z + -25z = 0 4 + -25z = -60 + 0 4 + -25z = -60 Add '-4' to each side of the equation. 4 + -4 + -25z = -60 + -4 Combine like terms: 4 + -4 = 0 0 + -25z = -60 + -4 -25z = -60 + -4 Combine like terms: -60 + -4 = -64 -25z = -64 Divide each side by '-25'. z = 2.56 Simplifying z = 2.56
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