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Simplifying 42 + 7 = z + 19 Combine like terms: 42 + 7 = 49 49 = z + 19 Reorder the terms: 49 = 19 + z Solving 49 = 19 + 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. 49 + -1z = 19 + z + -1z Combine like terms: z + -1z = 0 49 + -1z = 19 + 0 49 + -1z = 19 Add '-49' to each side of the equation. 49 + -49 + -1z = 19 + -49 Combine like terms: 49 + -49 = 0 0 + -1z = 19 + -49 -1z = 19 + -49 Combine like terms: 19 + -49 = -30 -1z = -30 Divide each side by '-1'. z = 30 Simplifying z = 30
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