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Simplifying 4z + 3 + -1z = 7 + 2x + 7 Reorder the terms: 3 + 4z + -1z = 7 + 2x + 7 Combine like terms: 4z + -1z = 3z 3 + 3z = 7 + 2x + 7 Reorder the terms: 3 + 3z = 7 + 7 + 2x Combine like terms: 7 + 7 = 14 3 + 3z = 14 + 2x Solving 3 + 3z = 14 + 2x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3z = 14 + -3 + 2x Combine like terms: 3 + -3 = 0 0 + 3z = 14 + -3 + 2x 3z = 14 + -3 + 2x Combine like terms: 14 + -3 = 11 3z = 11 + 2x Divide each side by '3'. z = 3.666666667 + 0.6666666667x Simplifying z = 3.666666667 + 0.6666666667x
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