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Simplifying 8z + -12 = 2(5z + 10) Reorder the terms: -12 + 8z = 2(5z + 10) Reorder the terms: -12 + 8z = 2(10 + 5z) -12 + 8z = (10 * 2 + 5z * 2) -12 + 8z = (20 + 10z) Solving -12 + 8z = 20 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -12 + 8z + -10z = 20 + 10z + -10z Combine like terms: 8z + -10z = -2z -12 + -2z = 20 + 10z + -10z Combine like terms: 10z + -10z = 0 -12 + -2z = 20 + 0 -12 + -2z = 20 Add '12' to each side of the equation. -12 + 12 + -2z = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = 20 + 12 -2z = 20 + 12 Combine like terms: 20 + 12 = 32 -2z = 32 Divide each side by '-2'. z = -16 Simplifying z = -16
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