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Simplifying 10 = z + 5 + -7 Reorder the terms: 10 = 5 + -7 + z Combine like terms: 5 + -7 = -2 10 = -2 + z Solving 10 = -2 + 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. 10 + -1z = -2 + z + -1z Combine like terms: z + -1z = 0 10 + -1z = -2 + 0 10 + -1z = -2 Add '-10' to each side of the equation. 10 + -10 + -1z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = -2 + -10 -1z = -2 + -10 Combine like terms: -2 + -10 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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