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Simplifying 6(z + -6) + -1(9 + -5z) = 10z Reorder the terms: 6(-6 + z) + -1(9 + -5z) = 10z (-6 * 6 + z * 6) + -1(9 + -5z) = 10z (-36 + 6z) + -1(9 + -5z) = 10z -36 + 6z + (9 * -1 + -5z * -1) = 10z -36 + 6z + (-9 + 5z) = 10z Reorder the terms: -36 + -9 + 6z + 5z = 10z Combine like terms: -36 + -9 = -45 -45 + 6z + 5z = 10z Combine like terms: 6z + 5z = 11z -45 + 11z = 10z Solving -45 + 11z = 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. -45 + 11z + -10z = 10z + -10z Combine like terms: 11z + -10z = 1z -45 + 1z = 10z + -10z Combine like terms: 10z + -10z = 0 -45 + 1z = 0 Add '45' to each side of the equation. -45 + 45 + 1z = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1z = 0 + 45 1z = 0 + 45 Combine like terms: 0 + 45 = 45 1z = 45 Divide each side by '1'. z = 45 Simplifying z = 45
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