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Simplifying 11z + 47 = 19z + 7 Reorder the terms: 47 + 11z = 19z + 7 Reorder the terms: 47 + 11z = 7 + 19z Solving 47 + 11z = 7 + 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. 47 + 11z + -19z = 7 + 19z + -19z Combine like terms: 11z + -19z = -8z 47 + -8z = 7 + 19z + -19z Combine like terms: 19z + -19z = 0 47 + -8z = 7 + 0 47 + -8z = 7 Add '-47' to each side of the equation. 47 + -47 + -8z = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -8z = 7 + -47 -8z = 7 + -47 Combine like terms: 7 + -47 = -40 -8z = -40 Divide each side by '-8'. z = 5 Simplifying z = 5
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