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Simplifying -35 + 4z = 7(9z + 6) Reorder the terms: -35 + 4z = 7(6 + 9z) -35 + 4z = (6 * 7 + 9z * 7) -35 + 4z = (42 + 63z) Solving -35 + 4z = 42 + 63z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63z' to each side of the equation. -35 + 4z + -63z = 42 + 63z + -63z Combine like terms: 4z + -63z = -59z -35 + -59z = 42 + 63z + -63z Combine like terms: 63z + -63z = 0 -35 + -59z = 42 + 0 -35 + -59z = 42 Add '35' to each side of the equation. -35 + 35 + -59z = 42 + 35 Combine like terms: -35 + 35 = 0 0 + -59z = 42 + 35 -59z = 42 + 35 Combine like terms: 42 + 35 = 77 -59z = 77 Divide each side by '-59'. z = -1.305084746 Simplifying z = -1.305084746
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