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Simplifying -3z + -1 = 2z + -3z + -9 Reorder the terms: -1 + -3z = 2z + -3z + -9 Reorder the terms: -1 + -3z = -9 + 2z + -3z Combine like terms: 2z + -3z = -1z -1 + -3z = -9 + -1z Solving -1 + -3z = -9 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1 + -3z + z = -9 + -1z + z Combine like terms: -3z + z = -2z -1 + -2z = -9 + -1z + z Combine like terms: -1z + z = 0 -1 + -2z = -9 + 0 -1 + -2z = -9 Add '1' to each side of the equation. -1 + 1 + -2z = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -2z = -9 + 1 -2z = -9 + 1 Combine like terms: -9 + 1 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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