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Simplifying -7 + 3z + 4 = 8z + 6 + -2z Reorder the terms: -7 + 4 + 3z = 8z + 6 + -2z Combine like terms: -7 + 4 = -3 -3 + 3z = 8z + 6 + -2z Reorder the terms: -3 + 3z = 6 + 8z + -2z Combine like terms: 8z + -2z = 6z -3 + 3z = 6 + 6z Solving -3 + 3z = 6 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -3 + 3z + -6z = 6 + 6z + -6z Combine like terms: 3z + -6z = -3z -3 + -3z = 6 + 6z + -6z Combine like terms: 6z + -6z = 0 -3 + -3z = 6 + 0 -3 + -3z = 6 Add '3' to each side of the equation. -3 + 3 + -3z = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -3z = 6 + 3 -3z = 6 + 3 Combine like terms: 6 + 3 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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