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Simplifying 4(z + 3) = 10z Reorder the terms: 4(3 + z) = 10z (3 * 4 + z * 4) = 10z (12 + 4z) = 10z Solving 12 + 4z = 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 12 + 4z + -10z = 10z + -10z Combine like terms: 4z + -10z = -6z 12 + -6z = 10z + -10z Combine like terms: 10z + -10z = 0 12 + -6z = 0 Add '-12' to each side of the equation. 12 + -12 + -6z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = 0 + -12 -6z = 0 + -12 Combine like terms: 0 + -12 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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