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Simplifying 8 + 7 = 5 + z Combine like terms: 8 + 7 = 15 15 = 5 + z Solving 15 = 5 + 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. 15 + -1z = 5 + z + -1z Combine like terms: z + -1z = 0 15 + -1z = 5 + 0 15 + -1z = 5 Add '-15' to each side of the equation. 15 + -15 + -1z = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 5 + -15 -1z = 5 + -15 Combine like terms: 5 + -15 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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