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