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Simplifying 15z + -2z + 4 = 3z + -8 Reorder the terms: 4 + 15z + -2z = 3z + -8 Combine like terms: 15z + -2z = 13z 4 + 13z = 3z + -8 Reorder the terms: 4 + 13z = -8 + 3z Solving 4 + 13z = -8 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 4 + 13z + -3z = -8 + 3z + -3z Combine like terms: 13z + -3z = 10z 4 + 10z = -8 + 3z + -3z Combine like terms: 3z + -3z = 0 4 + 10z = -8 + 0 4 + 10z = -8 Add '-4' to each side of the equation. 4 + -4 + 10z = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 10z = -8 + -4 10z = -8 + -4 Combine like terms: -8 + -4 = -12 10z = -12 Divide each side by '10'. z = -1.2 Simplifying z = -1.2
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