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Simplifying 6z + -19 = 2z + 13 Reorder the terms: -19 + 6z = 2z + 13 Reorder the terms: -19 + 6z = 13 + 2z Solving -19 + 6z = 13 + 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. -19 + 6z + -2z = 13 + 2z + -2z Combine like terms: 6z + -2z = 4z -19 + 4z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 -19 + 4z = 13 + 0 -19 + 4z = 13 Add '19' to each side of the equation. -19 + 19 + 4z = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 4z = 13 + 19 4z = 13 + 19 Combine like terms: 13 + 19 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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