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Simplifying 2(2z + -5) = 3(z + 2) Reorder the terms: 2(-5 + 2z) = 3(z + 2) (-5 * 2 + 2z * 2) = 3(z + 2) (-10 + 4z) = 3(z + 2) Reorder the terms: -10 + 4z = 3(2 + z) -10 + 4z = (2 * 3 + z * 3) -10 + 4z = (6 + 3z) Solving -10 + 4z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -10 + 4z + -3z = 6 + 3z + -3z Combine like terms: 4z + -3z = 1z -10 + 1z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + 1z = 6 + 0 -10 + 1z = 6 Add '10' to each side of the equation. -10 + 10 + 1z = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1z = 6 + 10 1z = 6 + 10 Combine like terms: 6 + 10 = 16 1z = 16 Divide each side by '1'. z = 16 Simplifying z = 16
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