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Simplifying 12z + 48 + -3z + 9 = 4z + -8 + 4z + -16 Reorder the terms: 48 + 9 + 12z + -3z = 4z + -8 + 4z + -16 Combine like terms: 48 + 9 = 57 57 + 12z + -3z = 4z + -8 + 4z + -16 Combine like terms: 12z + -3z = 9z 57 + 9z = 4z + -8 + 4z + -16 Reorder the terms: 57 + 9z = -8 + -16 + 4z + 4z Combine like terms: -8 + -16 = -24 57 + 9z = -24 + 4z + 4z Combine like terms: 4z + 4z = 8z 57 + 9z = -24 + 8z Solving 57 + 9z = -24 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 57 + 9z + -8z = -24 + 8z + -8z Combine like terms: 9z + -8z = 1z 57 + 1z = -24 + 8z + -8z Combine like terms: 8z + -8z = 0 57 + 1z = -24 + 0 57 + 1z = -24 Add '-57' to each side of the equation. 57 + -57 + 1z = -24 + -57 Combine like terms: 57 + -57 = 0 0 + 1z = -24 + -57 1z = -24 + -57 Combine like terms: -24 + -57 = -81 1z = -81 Divide each side by '1'. z = -81 Simplifying z = -81
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