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Simplifying -42 = z + -51 Reorder the terms: -42 = -51 + z Solving -42 = -51 + 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. -42 + -1z = -51 + z + -1z Combine like terms: z + -1z = 0 -42 + -1z = -51 + 0 -42 + -1z = -51 Add '42' to each side of the equation. -42 + 42 + -1z = -51 + 42 Combine like terms: -42 + 42 = 0 0 + -1z = -51 + 42 -1z = -51 + 42 Combine like terms: -51 + 42 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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