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Simplifying 10 = 2(z + 1) + 2 Reorder the terms: 10 = 2(1 + z) + 2 10 = (1 * 2 + z * 2) + 2 10 = (2 + 2z) + 2 Reorder the terms: 10 = 2 + 2 + 2z Combine like terms: 2 + 2 = 4 10 = 4 + 2z Solving 10 = 4 + 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. 10 + -2z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + -2z = 4 + 0 10 + -2z = 4 Add '-10' to each side of the equation. 10 + -10 + -2z = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -2z = 4 + -10 -2z = 4 + -10 Combine like terms: 4 + -10 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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