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Simplifying 8(-3z + -20) = 11 + -5z Reorder the terms: 8(-20 + -3z) = 11 + -5z (-20 * 8 + -3z * 8) = 11 + -5z (-160 + -24z) = 11 + -5z Solving -160 + -24z = 11 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -160 + -24z + 5z = 11 + -5z + 5z Combine like terms: -24z + 5z = -19z -160 + -19z = 11 + -5z + 5z Combine like terms: -5z + 5z = 0 -160 + -19z = 11 + 0 -160 + -19z = 11 Add '160' to each side of the equation. -160 + 160 + -19z = 11 + 160 Combine like terms: -160 + 160 = 0 0 + -19z = 11 + 160 -19z = 11 + 160 Combine like terms: 11 + 160 = 171 -19z = 171 Divide each side by '-19'. z = -9 Simplifying z = -9
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