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Simplifying -10z + -13z + 4 = 4 + 2z + 2 Reorder the terms: 4 + -10z + -13z = 4 + 2z + 2 Combine like terms: -10z + -13z = -23z 4 + -23z = 4 + 2z + 2 Reorder the terms: 4 + -23z = 4 + 2 + 2z Combine like terms: 4 + 2 = 6 4 + -23z = 6 + 2z Solving 4 + -23z = 6 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 4 + -23z + -2z = 6 + 2z + -2z Combine like terms: -23z + -2z = -25z 4 + -25z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + -25z = 6 + 0 4 + -25z = 6 Add '-4' to each side of the equation. 4 + -4 + -25z = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -25z = 6 + -4 -25z = 6 + -4 Combine like terms: 6 + -4 = 2 -25z = 2 Divide each side by '-25'. z = -0.08 Simplifying z = -0.08
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