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Simplifying 19 + -7z = 3 + -5z + 3 Reorder the terms: 19 + -7z = 3 + 3 + -5z Combine like terms: 3 + 3 = 6 19 + -7z = 6 + -5z Solving 19 + -7z = 6 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 19 + -7z + 5z = 6 + -5z + 5z Combine like terms: -7z + 5z = -2z 19 + -2z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 19 + -2z = 6 + 0 19 + -2z = 6 Add '-19' to each side of the equation. 19 + -19 + -2z = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -2z = 6 + -19 -2z = 6 + -19 Combine like terms: 6 + -19 = -13 -2z = -13 Divide each side by '-2'. z = 6.5 Simplifying z = 6.5
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