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Simplifying 2(25z + -30) = 3(12z + 16) Reorder the terms: 2(-30 + 25z) = 3(12z + 16) (-30 * 2 + 25z * 2) = 3(12z + 16) (-60 + 50z) = 3(12z + 16) Reorder the terms: -60 + 50z = 3(16 + 12z) -60 + 50z = (16 * 3 + 12z * 3) -60 + 50z = (48 + 36z) Solving -60 + 50z = 48 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. -60 + 50z + -36z = 48 + 36z + -36z Combine like terms: 50z + -36z = 14z -60 + 14z = 48 + 36z + -36z Combine like terms: 36z + -36z = 0 -60 + 14z = 48 + 0 -60 + 14z = 48 Add '60' to each side of the equation. -60 + 60 + 14z = 48 + 60 Combine like terms: -60 + 60 = 0 0 + 14z = 48 + 60 14z = 48 + 60 Combine like terms: 48 + 60 = 108 14z = 108 Divide each side by '14'. z = 7.714285714 Simplifying z = 7.714285714
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