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Simplifying 15z + -3 = 4z + 19 Reorder the terms: -3 + 15z = 4z + 19 Reorder the terms: -3 + 15z = 19 + 4z Solving -3 + 15z = 19 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -3 + 15z + -4z = 19 + 4z + -4z Combine like terms: 15z + -4z = 11z -3 + 11z = 19 + 4z + -4z Combine like terms: 4z + -4z = 0 -3 + 11z = 19 + 0 -3 + 11z = 19 Add '3' to each side of the equation. -3 + 3 + 11z = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 11z = 19 + 3 11z = 19 + 3 Combine like terms: 19 + 3 = 22 11z = 22 Divide each side by '11'. z = 2 Simplifying z = 2
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