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Simplifying 61 = z + 13 + z + 8 Reorder the terms: 61 = 13 + 8 + z + z Combine like terms: 13 + 8 = 21 61 = 21 + z + z Combine like terms: z + z = 2z 61 = 21 + 2z Solving 61 = 21 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 61 + -2z = 21 + 2z + -2z Combine like terms: 2z + -2z = 0 61 + -2z = 21 + 0 61 + -2z = 21 Add '-61' to each side of the equation. 61 + -61 + -2z = 21 + -61 Combine like terms: 61 + -61 = 0 0 + -2z = 21 + -61 -2z = 21 + -61 Combine like terms: 21 + -61 = -40 -2z = -40 Divide each side by '-2'. z = 20 Simplifying z = 20
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