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Simplifying 3(z + -6) + -1(2 + -8z) = 10z Reorder the terms: 3(-6 + z) + -1(2 + -8z) = 10z (-6 * 3 + z * 3) + -1(2 + -8z) = 10z (-18 + 3z) + -1(2 + -8z) = 10z -18 + 3z + (2 * -1 + -8z * -1) = 10z -18 + 3z + (-2 + 8z) = 10z Reorder the terms: -18 + -2 + 3z + 8z = 10z Combine like terms: -18 + -2 = -20 -20 + 3z + 8z = 10z Combine like terms: 3z + 8z = 11z -20 + 11z = 10z Solving -20 + 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. -20 + 11z + -10z = 10z + -10z Combine like terms: 11z + -10z = 1z -20 + 1z = 10z + -10z Combine like terms: 10z + -10z = 0 -20 + 1z = 0 Add '20' to each side of the equation. -20 + 20 + 1z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1z = 0 + 20 1z = 0 + 20 Combine like terms: 0 + 20 = 20 1z = 20 Divide each side by '1'. z = 20 Simplifying z = 20
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