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Simplifying 6z + -7 = 4z + -3 + 5z Reorder the terms: -7 + 6z = 4z + -3 + 5z Reorder the terms: -7 + 6z = -3 + 4z + 5z Combine like terms: 4z + 5z = 9z -7 + 6z = -3 + 9z Solving -7 + 6z = -3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -7 + 6z + -9z = -3 + 9z + -9z Combine like terms: 6z + -9z = -3z -7 + -3z = -3 + 9z + -9z Combine like terms: 9z + -9z = 0 -7 + -3z = -3 + 0 -7 + -3z = -3 Add '7' to each side of the equation. -7 + 7 + -3z = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -3z = -3 + 7 -3z = -3 + 7 Combine like terms: -3 + 7 = 4 -3z = 4 Divide each side by '-3'. z = -1.333333333 Simplifying z = -1.333333333
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