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Simplifying 5z + -22 = -38 + z Reorder the terms: -22 + 5z = -38 + z Solving -22 + 5z = -38 + 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. -22 + 5z + -1z = -38 + z + -1z Combine like terms: 5z + -1z = 4z -22 + 4z = -38 + z + -1z Combine like terms: z + -1z = 0 -22 + 4z = -38 + 0 -22 + 4z = -38 Add '22' to each side of the equation. -22 + 22 + 4z = -38 + 22 Combine like terms: -22 + 22 = 0 0 + 4z = -38 + 22 4z = -38 + 22 Combine like terms: -38 + 22 = -16 4z = -16 Divide each side by '4'. z = -4 Simplifying z = -4
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