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Simplifying 19z + -10 + -4z = 3z + -4 Reorder the terms: -10 + 19z + -4z = 3z + -4 Combine like terms: 19z + -4z = 15z -10 + 15z = 3z + -4 Reorder the terms: -10 + 15z = -4 + 3z Solving -10 + 15z = -4 + 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. -10 + 15z + -3z = -4 + 3z + -3z Combine like terms: 15z + -3z = 12z -10 + 12z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + 12z = -4 + 0 -10 + 12z = -4 Add '10' to each side of the equation. -10 + 10 + 12z = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 12z = -4 + 10 12z = -4 + 10 Combine like terms: -4 + 10 = 6 12z = 6 Divide each side by '12'. z = 0.5 Simplifying z = 0.5
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