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Simplifying 12z + -6 + -4z + -24 = 5z + 5 Reorder the terms: -6 + -24 + 12z + -4z = 5z + 5 Combine like terms: -6 + -24 = -30 -30 + 12z + -4z = 5z + 5 Combine like terms: 12z + -4z = 8z -30 + 8z = 5z + 5 Reorder the terms: -30 + 8z = 5 + 5z Solving -30 + 8z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -30 + 8z + -5z = 5 + 5z + -5z Combine like terms: 8z + -5z = 3z -30 + 3z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -30 + 3z = 5 + 0 -30 + 3z = 5 Add '30' to each side of the equation. -30 + 30 + 3z = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 3z = 5 + 30 3z = 5 + 30 Combine like terms: 5 + 30 = 35 3z = 35 Divide each side by '3'. z = 11.66666667 Simplifying z = 11.66666667
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