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Simplifying 3z + -2 + -6z + 1 = 4 + -3z + -7 + z Reorder the terms: -2 + 1 + 3z + -6z = 4 + -3z + -7 + z Combine like terms: -2 + 1 = -1 -1 + 3z + -6z = 4 + -3z + -7 + z Combine like terms: 3z + -6z = -3z -1 + -3z = 4 + -3z + -7 + z Reorder the terms: -1 + -3z = 4 + -7 + -3z + z Combine like terms: 4 + -7 = -3 -1 + -3z = -3 + -3z + z Combine like terms: -3z + z = -2z -1 + -3z = -3 + -2z Solving -1 + -3z = -3 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -1 + -3z + 2z = -3 + -2z + 2z Combine like terms: -3z + 2z = -1z -1 + -1z = -3 + -2z + 2z Combine like terms: -2z + 2z = 0 -1 + -1z = -3 + 0 -1 + -1z = -3 Add '1' to each side of the equation. -1 + 1 + -1z = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -1z = -3 + 1 -1z = -3 + 1 Combine like terms: -3 + 1 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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