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Simplifying 2z + -5 = 3(4z + 5) Reorder the terms: -5 + 2z = 3(4z + 5) Reorder the terms: -5 + 2z = 3(5 + 4z) -5 + 2z = (5 * 3 + 4z * 3) -5 + 2z = (15 + 12z) Solving -5 + 2z = 15 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -5 + 2z + -12z = 15 + 12z + -12z Combine like terms: 2z + -12z = -10z -5 + -10z = 15 + 12z + -12z Combine like terms: 12z + -12z = 0 -5 + -10z = 15 + 0 -5 + -10z = 15 Add '5' to each side of the equation. -5 + 5 + -10z = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -10z = 15 + 5 -10z = 15 + 5 Combine like terms: 15 + 5 = 20 -10z = 20 Divide each side by '-10'. z = -2 Simplifying z = -2
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