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Simplifying -47 = z + -38 Reorder the terms: -47 = -38 + z Solving -47 = -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. -47 + -1z = -38 + z + -1z Combine like terms: z + -1z = 0 -47 + -1z = -38 + 0 -47 + -1z = -38 Add '47' to each side of the equation. -47 + 47 + -1z = -38 + 47 Combine like terms: -47 + 47 = 0 0 + -1z = -38 + 47 -1z = -38 + 47 Combine like terms: -38 + 47 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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