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Simplifying -9 = z + 35 + 7 Reorder the terms: -9 = 35 + 7 + z Combine like terms: 35 + 7 = 42 -9 = 42 + z Solving -9 = 42 + 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. -9 + -1z = 42 + z + -1z Combine like terms: z + -1z = 0 -9 + -1z = 42 + 0 -9 + -1z = 42 Add '9' to each side of the equation. -9 + 9 + -1z = 42 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 42 + 9 -1z = 42 + 9 Combine like terms: 42 + 9 = 51 -1z = 51 Divide each side by '-1'. z = -51 Simplifying z = -51
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