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Simplifying 5z + -19 = -27 + 7z Reorder the terms: -19 + 5z = -27 + 7z Solving -19 + 5z = -27 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -19 + 5z + -7z = -27 + 7z + -7z Combine like terms: 5z + -7z = -2z -19 + -2z = -27 + 7z + -7z Combine like terms: 7z + -7z = 0 -19 + -2z = -27 + 0 -19 + -2z = -27 Add '19' to each side of the equation. -19 + 19 + -2z = -27 + 19 Combine like terms: -19 + 19 = 0 0 + -2z = -27 + 19 -2z = -27 + 19 Combine like terms: -27 + 19 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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