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Simplifying 3(z + -3) + 8z + -2 = 0 Reorder the terms: 3(-3 + z) + 8z + -2 = 0 (-3 * 3 + z * 3) + 8z + -2 = 0 (-9 + 3z) + 8z + -2 = 0 Reorder the terms: -9 + -2 + 3z + 8z = 0 Combine like terms: -9 + -2 = -11 -11 + 3z + 8z = 0 Combine like terms: 3z + 8z = 11z -11 + 11z = 0 Solving -11 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 11z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 11z = 0 + 11 11z = 0 + 11 Combine like terms: 0 + 11 = 11 11z = 11 Divide each side by '11'. z = 1 Simplifying z = 1
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