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Simplifying 10 + -1(2z + -6) = 5 + -3z Reorder the terms: 10 + -1(-6 + 2z) = 5 + -3z 10 + (-6 * -1 + 2z * -1) = 5 + -3z 10 + (6 + -2z) = 5 + -3z Combine like terms: 10 + 6 = 16 16 + -2z = 5 + -3z Solving 16 + -2z = 5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 16 + -2z + 3z = 5 + -3z + 3z Combine like terms: -2z + 3z = 1z 16 + 1z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 16 + 1z = 5 + 0 16 + 1z = 5 Add '-16' to each side of the equation. 16 + -16 + 1z = 5 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 5 + -16 1z = 5 + -16 Combine like terms: 5 + -16 = -11 1z = -11 Divide each side by '1'. z = -11 Simplifying z = -11
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