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Simplifying 10z + -4 = 2(5z + -1z) Reorder the terms: -4 + 10z = 2(5z + -1z) Combine like terms: 5z + -1z = 4z -4 + 10z = 2(4z) Remove parenthesis around (4z) -4 + 10z = 2 * 4z Multiply 2 * 4 -4 + 10z = 8z Solving -4 + 10z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -4 + 10z + -8z = 8z + -8z Combine like terms: 10z + -8z = 2z -4 + 2z = 8z + -8z Combine like terms: 8z + -8z = 0 -4 + 2z = 0 Add '4' to each side of the equation. -4 + 4 + 2z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2z = 0 + 4 2z = 0 + 4 Combine like terms: 0 + 4 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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