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Simplifying 8z + -10 = 6 + 11(z + 4) Reorder the terms: -10 + 8z = 6 + 11(z + 4) Reorder the terms: -10 + 8z = 6 + 11(4 + z) -10 + 8z = 6 + (4 * 11 + z * 11) -10 + 8z = 6 + (44 + 11z) Combine like terms: 6 + 44 = 50 -10 + 8z = 50 + 11z Solving -10 + 8z = 50 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -10 + 8z + -11z = 50 + 11z + -11z Combine like terms: 8z + -11z = -3z -10 + -3z = 50 + 11z + -11z Combine like terms: 11z + -11z = 0 -10 + -3z = 50 + 0 -10 + -3z = 50 Add '10' to each side of the equation. -10 + 10 + -3z = 50 + 10 Combine like terms: -10 + 10 = 0 0 + -3z = 50 + 10 -3z = 50 + 10 Combine like terms: 50 + 10 = 60 -3z = 60 Divide each side by '-3'. z = -20 Simplifying z = -20
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