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Simplifying 5 + -5z = 47 + z Solving 5 + -5z = 47 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5 + -5z + -1z = 47 + z + -1z Combine like terms: -5z + -1z = -6z 5 + -6z = 47 + z + -1z Combine like terms: z + -1z = 0 5 + -6z = 47 + 0 5 + -6z = 47 Add '-5' to each side of the equation. 5 + -5 + -6z = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -6z = 47 + -5 -6z = 47 + -5 Combine like terms: 47 + -5 = 42 -6z = 42 Divide each side by '-6'. z = -7 Simplifying z = -7
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