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Simplifying 7 + -11z = -33 + -19z Solving 7 + -11z = -33 + -19z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19z' to each side of the equation. 7 + -11z + 19z = -33 + -19z + 19z Combine like terms: -11z + 19z = 8z 7 + 8z = -33 + -19z + 19z Combine like terms: -19z + 19z = 0 7 + 8z = -33 + 0 7 + 8z = -33 Add '-7' to each side of the equation. 7 + -7 + 8z = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 8z = -33 + -7 8z = -33 + -7 Combine like terms: -33 + -7 = -40 8z = -40 Divide each side by '8'. z = -5 Simplifying z = -5
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