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Simplifying 13 + 42 = z + -22 Combine like terms: 13 + 42 = 55 55 = z + -22 Reorder the terms: 55 = -22 + z Solving 55 = -22 + 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. 55 + -1z = -22 + z + -1z Combine like terms: z + -1z = 0 55 + -1z = -22 + 0 55 + -1z = -22 Add '-55' to each side of the equation. 55 + -55 + -1z = -22 + -55 Combine like terms: 55 + -55 = 0 0 + -1z = -22 + -55 -1z = -22 + -55 Combine like terms: -22 + -55 = -77 -1z = -77 Divide each side by '-1'. z = 77 Simplifying z = 77
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