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Simplifying 8(6z + 4) = 5(10z + 6) Reorder the terms: 8(4 + 6z) = 5(10z + 6) (4 * 8 + 6z * 8) = 5(10z + 6) (32 + 48z) = 5(10z + 6) Reorder the terms: 32 + 48z = 5(6 + 10z) 32 + 48z = (6 * 5 + 10z * 5) 32 + 48z = (30 + 50z) Solving 32 + 48z = 30 + 50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-50z' to each side of the equation. 32 + 48z + -50z = 30 + 50z + -50z Combine like terms: 48z + -50z = -2z 32 + -2z = 30 + 50z + -50z Combine like terms: 50z + -50z = 0 32 + -2z = 30 + 0 32 + -2z = 30 Add '-32' to each side of the equation. 32 + -32 + -2z = 30 + -32 Combine like terms: 32 + -32 = 0 0 + -2z = 30 + -32 -2z = 30 + -32 Combine like terms: 30 + -32 = -2 -2z = -2 Divide each side by '-2'. z = 1 Simplifying z = 1
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