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Simplifying -3z + -19 = -2z + 18 Reorder the terms: -19 + -3z = -2z + 18 Reorder the terms: -19 + -3z = 18 + -2z Solving -19 + -3z = 18 + -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 + -3z + 2z = 18 + -2z + 2z Combine like terms: -3z + 2z = -1z -19 + -1z = 18 + -2z + 2z Combine like terms: -2z + 2z = 0 -19 + -1z = 18 + 0 -19 + -1z = 18 Add '19' to each side of the equation. -19 + 19 + -1z = 18 + 19 Combine like terms: -19 + 19 = 0 0 + -1z = 18 + 19 -1z = 18 + 19 Combine like terms: 18 + 19 = 37 -1z = 37 Divide each side by '-1'. z = -37 Simplifying z = -37
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