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Simplifying -1(2z + -1(5z + 10)) = 10 + (2z + 1) Reorder the terms: -1(2z + -1(10 + 5z)) = 10 + (2z + 1) -1(2z + (10 * -1 + 5z * -1)) = 10 + (2z + 1) -1(2z + (-10 + -5z)) = 10 + (2z + 1) Reorder the terms: -1(-10 + 2z + -5z) = 10 + (2z + 1) Combine like terms: 2z + -5z = -3z -1(-10 + -3z) = 10 + (2z + 1) (-10 * -1 + -3z * -1) = 10 + (2z + 1) (10 + 3z) = 10 + (2z + 1) Reorder the terms: 10 + 3z = 10 + (1 + 2z) Remove parenthesis around (1 + 2z) 10 + 3z = 10 + 1 + 2z Combine like terms: 10 + 1 = 11 10 + 3z = 11 + 2z Solving 10 + 3z = 11 + 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 + 3z + -2z = 11 + 2z + -2z Combine like terms: 3z + -2z = 1z 10 + 1z = 11 + 2z + -2z Combine like terms: 2z + -2z = 0 10 + 1z = 11 + 0 10 + 1z = 11 Add '-10' to each side of the equation. 10 + -10 + 1z = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 11 + -10 1z = 11 + -10 Combine like terms: 11 + -10 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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