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Simplifying 1506 + -2z = 3x + 646 + -1x Reorder the terms: 1506 + -2z = 646 + 3x + -1x Combine like terms: 3x + -1x = 2x 1506 + -2z = 646 + 2x Solving 1506 + -2z = 646 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1506' to each side of the equation. 1506 + -1506 + -2z = 646 + -1506 + 2x Combine like terms: 1506 + -1506 = 0 0 + -2z = 646 + -1506 + 2x -2z = 646 + -1506 + 2x Combine like terms: 646 + -1506 = -860 -2z = -860 + 2x Divide each side by '-2'. z = 430 + -1x Simplifying z = 430 + -1x
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