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Simplifying 6(z + -5) = 5(7 + -2z) Reorder the terms: 6(-5 + z) = 5(7 + -2z) (-5 * 6 + z * 6) = 5(7 + -2z) (-30 + 6z) = 5(7 + -2z) -30 + 6z = (7 * 5 + -2z * 5) -30 + 6z = (35 + -10z) Solving -30 + 6z = 35 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -30 + 6z + 10z = 35 + -10z + 10z Combine like terms: 6z + 10z = 16z -30 + 16z = 35 + -10z + 10z Combine like terms: -10z + 10z = 0 -30 + 16z = 35 + 0 -30 + 16z = 35 Add '30' to each side of the equation. -30 + 30 + 16z = 35 + 30 Combine like terms: -30 + 30 = 0 0 + 16z = 35 + 30 16z = 35 + 30 Combine like terms: 35 + 30 = 65 16z = 65 Divide each side by '16'. z = 4.0625 Simplifying z = 4.0625
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