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Simplifying 12z + -15z + -12z + -24 = 21z + -7 Reorder the terms: -24 + 12z + -15z + -12z = 21z + -7 Combine like terms: 12z + -15z = -3z -24 + -3z + -12z = 21z + -7 Combine like terms: -3z + -12z = -15z -24 + -15z = 21z + -7 Reorder the terms: -24 + -15z = -7 + 21z Solving -24 + -15z = -7 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. -24 + -15z + -21z = -7 + 21z + -21z Combine like terms: -15z + -21z = -36z -24 + -36z = -7 + 21z + -21z Combine like terms: 21z + -21z = 0 -24 + -36z = -7 + 0 -24 + -36z = -7 Add '24' to each side of the equation. -24 + 24 + -36z = -7 + 24 Combine like terms: -24 + 24 = 0 0 + -36z = -7 + 24 -36z = -7 + 24 Combine like terms: -7 + 24 = 17 -36z = 17 Divide each side by '-36'. z = -0.4722222222 Simplifying z = -0.4722222222
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