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Simplifying 6z + -3z + -7 = -2 + 3 Reorder the terms: -7 + 6z + -3z = -2 + 3 Combine like terms: 6z + -3z = 3z -7 + 3z = -2 + 3 Combine like terms: -2 + 3 = 1 -7 + 3z = 1 Solving -7 + 3z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3z = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 1 + 7 3z = 1 + 7 Combine like terms: 1 + 7 = 8 3z = 8 Divide each side by '3'. z = 2.666666667 Simplifying z = 2.666666667
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