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Simplifying z + 47 + 42 = 13z + 17 Reorder the terms: 47 + 42 + z = 13z + 17 Combine like terms: 47 + 42 = 89 89 + z = 13z + 17 Reorder the terms: 89 + z = 17 + 13z Solving 89 + z = 17 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 89 + z + -13z = 17 + 13z + -13z Combine like terms: z + -13z = -12z 89 + -12z = 17 + 13z + -13z Combine like terms: 13z + -13z = 0 89 + -12z = 17 + 0 89 + -12z = 17 Add '-89' to each side of the equation. 89 + -89 + -12z = 17 + -89 Combine like terms: 89 + -89 = 0 0 + -12z = 17 + -89 -12z = 17 + -89 Combine like terms: 17 + -89 = -72 -12z = -72 Divide each side by '-12'. z = 6 Simplifying z = 6
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