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Simplifying 19 + -1z = 3z + -9 Reorder the terms: 19 + -1z = -9 + 3z Solving 19 + -1z = -9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 19 + -1z + -3z = -9 + 3z + -3z Combine like terms: -1z + -3z = -4z 19 + -4z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 19 + -4z = -9 + 0 19 + -4z = -9 Add '-19' to each side of the equation. 19 + -19 + -4z = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -4z = -9 + -19 -4z = -9 + -19 Combine like terms: -9 + -19 = -28 -4z = -28 Divide each side by '-4'. z = 7 Simplifying z = 7
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