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Simplifying 47 = 4z + -2z + -7 Reorder the terms: 47 = -7 + 4z + -2z Combine like terms: 4z + -2z = 2z 47 = -7 + 2z Solving 47 = -7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 47 + -2z = -7 + 2z + -2z Combine like terms: 2z + -2z = 0 47 + -2z = -7 + 0 47 + -2z = -7 Add '-47' to each side of the equation. 47 + -47 + -2z = -7 + -47 Combine like terms: 47 + -47 = 0 0 + -2z = -7 + -47 -2z = -7 + -47 Combine like terms: -7 + -47 = -54 -2z = -54 Divide each side by '-2'. z = 27 Simplifying z = 27
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