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Simplifying -93 + 2z + 30z = 57z + -2(15z + -96) Combine like terms: 2z + 30z = 32z -93 + 32z = 57z + -2(15z + -96) Reorder the terms: -93 + 32z = 57z + -2(-96 + 15z) -93 + 32z = 57z + (-96 * -2 + 15z * -2) -93 + 32z = 57z + (192 + -30z) Reorder the terms: -93 + 32z = 192 + 57z + -30z Combine like terms: 57z + -30z = 27z -93 + 32z = 192 + 27z Solving -93 + 32z = 192 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. -93 + 32z + -27z = 192 + 27z + -27z Combine like terms: 32z + -27z = 5z -93 + 5z = 192 + 27z + -27z Combine like terms: 27z + -27z = 0 -93 + 5z = 192 + 0 -93 + 5z = 192 Add '93' to each side of the equation. -93 + 93 + 5z = 192 + 93 Combine like terms: -93 + 93 = 0 0 + 5z = 192 + 93 5z = 192 + 93 Combine like terms: 192 + 93 = 285 5z = 285 Divide each side by '5'. z = 57 Simplifying z = 57
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