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Simplifying -10z + 3(5 + 4z) = 2(3z + 3) -10z + (5 * 3 + 4z * 3) = 2(3z + 3) -10z + (15 + 12z) = 2(3z + 3) Reorder the terms: 15 + -10z + 12z = 2(3z + 3) Combine like terms: -10z + 12z = 2z 15 + 2z = 2(3z + 3) Reorder the terms: 15 + 2z = 2(3 + 3z) 15 + 2z = (3 * 2 + 3z * 2) 15 + 2z = (6 + 6z) Solving 15 + 2z = 6 + 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. 15 + 2z + -6z = 6 + 6z + -6z Combine like terms: 2z + -6z = -4z 15 + -4z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 15 + -4z = 6 + 0 15 + -4z = 6 Add '-15' to each side of the equation. 15 + -15 + -4z = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -4z = 6 + -15 -4z = 6 + -15 Combine like terms: 6 + -15 = -9 -4z = -9 Divide each side by '-4'. z = 2.25 Simplifying z = 2.25
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