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Simplifying 8(-2z + 18) = 3z + -8 + -11z Reorder the terms: 8(18 + -2z) = 3z + -8 + -11z (18 * 8 + -2z * 8) = 3z + -8 + -11z (144 + -16z) = 3z + -8 + -11z Reorder the terms: 144 + -16z = -8 + 3z + -11z Combine like terms: 3z + -11z = -8z 144 + -16z = -8 + -8z Solving 144 + -16z = -8 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 144 + -16z + 8z = -8 + -8z + 8z Combine like terms: -16z + 8z = -8z 144 + -8z = -8 + -8z + 8z Combine like terms: -8z + 8z = 0 144 + -8z = -8 + 0 144 + -8z = -8 Add '-144' to each side of the equation. 144 + -144 + -8z = -8 + -144 Combine like terms: 144 + -144 = 0 0 + -8z = -8 + -144 -8z = -8 + -144 Combine like terms: -8 + -144 = -152 -8z = -152 Divide each side by '-8'. z = 19 Simplifying z = 19
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