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Simplifying 5z + -3 = (-27) + 19z Reorder the terms: -3 + 5z = (-27) + 19z -3 + 5z = -27 + 19z Solving -3 + 5z = -27 + 19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19z' to each side of the equation. -3 + 5z + -19z = -27 + 19z + -19z Combine like terms: 5z + -19z = -14z -3 + -14z = -27 + 19z + -19z Combine like terms: 19z + -19z = 0 -3 + -14z = -27 + 0 -3 + -14z = -27 Add '3' to each side of the equation. -3 + 3 + -14z = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -14z = -27 + 3 -14z = -27 + 3 Combine like terms: -27 + 3 = -24 -14z = -24 Divide each side by '-14'. z = 1.714285714 Simplifying z = 1.714285714
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