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Simplifying 6(z + 5) + 4 = -11 + -10(z + -5) Reorder the terms: 6(5 + z) + 4 = -11 + -10(z + -5) (5 * 6 + z * 6) + 4 = -11 + -10(z + -5) (30 + 6z) + 4 = -11 + -10(z + -5) Reorder the terms: 30 + 4 + 6z = -11 + -10(z + -5) Combine like terms: 30 + 4 = 34 34 + 6z = -11 + -10(z + -5) Reorder the terms: 34 + 6z = -11 + -10(-5 + z) 34 + 6z = -11 + (-5 * -10 + z * -10) 34 + 6z = -11 + (50 + -10z) Combine like terms: -11 + 50 = 39 34 + 6z = 39 + -10z Solving 34 + 6z = 39 + -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. 34 + 6z + 10z = 39 + -10z + 10z Combine like terms: 6z + 10z = 16z 34 + 16z = 39 + -10z + 10z Combine like terms: -10z + 10z = 0 34 + 16z = 39 + 0 34 + 16z = 39 Add '-34' to each side of the equation. 34 + -34 + 16z = 39 + -34 Combine like terms: 34 + -34 = 0 0 + 16z = 39 + -34 16z = 39 + -34 Combine like terms: 39 + -34 = 5 16z = 5 Divide each side by '16'. z = 0.3125 Simplifying z = 0.3125
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