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Simplifying 19z + -10 + 4z = 3z + -4 Reorder the terms: -10 + 19z + 4z = 3z + -4 Combine like terms: 19z + 4z = 23z -10 + 23z = 3z + -4 Reorder the terms: -10 + 23z = -4 + 3z Solving -10 + 23z = -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 + 23z + -3z = -4 + 3z + -3z Combine like terms: 23z + -3z = 20z -10 + 20z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 -10 + 20z = -4 + 0 -10 + 20z = -4 Add '10' to each side of the equation. -10 + 10 + 20z = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 20z = -4 + 10 20z = -4 + 10 Combine like terms: -4 + 10 = 6 20z = 6 Divide each side by '20'. z = 0.3 Simplifying z = 0.3
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