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Simplifying 9(6z + 4) = 7(10z + 6) Reorder the terms: 9(4 + 6z) = 7(10z + 6) (4 * 9 + 6z * 9) = 7(10z + 6) (36 + 54z) = 7(10z + 6) Reorder the terms: 36 + 54z = 7(6 + 10z) 36 + 54z = (6 * 7 + 10z * 7) 36 + 54z = (42 + 70z) Solving 36 + 54z = 42 + 70z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-70z' to each side of the equation. 36 + 54z + -70z = 42 + 70z + -70z Combine like terms: 54z + -70z = -16z 36 + -16z = 42 + 70z + -70z Combine like terms: 70z + -70z = 0 36 + -16z = 42 + 0 36 + -16z = 42 Add '-36' to each side of the equation. 36 + -36 + -16z = 42 + -36 Combine like terms: 36 + -36 = 0 0 + -16z = 42 + -36 -16z = 42 + -36 Combine like terms: 42 + -36 = 6 -16z = 6 Divide each side by '-16'. z = -0.375 Simplifying z = -0.375
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