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Simplifying z + 7 = 5z + -9 Reorder the terms: 7 + z = 5z + -9 Reorder the terms: 7 + z = -9 + 5z Solving 7 + z = -9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 7 + z + -5z = -9 + 5z + -5z Combine like terms: z + -5z = -4z 7 + -4z = -9 + 5z + -5z Combine like terms: 5z + -5z = 0 7 + -4z = -9 + 0 7 + -4z = -9 Add '-7' to each side of the equation. 7 + -7 + -4z = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4z = -9 + -7 -4z = -9 + -7 Combine like terms: -9 + -7 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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