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Simplifying 2z + 3 = 2(6z + -20) Reorder the terms: 3 + 2z = 2(6z + -20) Reorder the terms: 3 + 2z = 2(-20 + 6z) 3 + 2z = (-20 * 2 + 6z * 2) 3 + 2z = (-40 + 12z) Solving 3 + 2z = -40 + 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. 3 + 2z + -12z = -40 + 12z + -12z Combine like terms: 2z + -12z = -10z 3 + -10z = -40 + 12z + -12z Combine like terms: 12z + -12z = 0 3 + -10z = -40 + 0 3 + -10z = -40 Add '-3' to each side of the equation. 3 + -3 + -10z = -40 + -3 Combine like terms: 3 + -3 = 0 0 + -10z = -40 + -3 -10z = -40 + -3 Combine like terms: -40 + -3 = -43 -10z = -43 Divide each side by '-10'. z = 4.3 Simplifying z = 4.3
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