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Simplifying 30 = z + 6 + -10z + 3z Reorder the terms: 30 = 6 + z + -10z + 3z Combine like terms: z + -10z = -9z 30 = 6 + -9z + 3z Combine like terms: -9z + 3z = -6z 30 = 6 + -6z Solving 30 = 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. 30 + 6z = 6 + -6z + 6z Combine like terms: -6z + 6z = 0 30 + 6z = 6 + 0 30 + 6z = 6 Add '-30' to each side of the equation. 30 + -30 + 6z = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6z = 6 + -30 6z = 6 + -30 Combine like terms: 6 + -30 = -24 6z = -24 Divide each side by '6'. z = -4 Simplifying z = -4
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