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Simplifying 8(z + -3) = z + 6 + -2z Reorder the terms: 8(-3 + z) = z + 6 + -2z (-3 * 8 + z * 8) = z + 6 + -2z (-24 + 8z) = z + 6 + -2z Reorder the terms: -24 + 8z = 6 + z + -2z Combine like terms: z + -2z = -1z -24 + 8z = 6 + -1z Solving -24 + 8z = 6 + -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. -24 + 8z + z = 6 + -1z + z Combine like terms: 8z + z = 9z -24 + 9z = 6 + -1z + z Combine like terms: -1z + z = 0 -24 + 9z = 6 + 0 -24 + 9z = 6 Add '24' to each side of the equation. -24 + 24 + 9z = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 9z = 6 + 24 9z = 6 + 24 Combine like terms: 6 + 24 = 30 9z = 30 Divide each side by '9'. z = 3.333333333 Simplifying z = 3.333333333
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