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Simplifying -5 = 2 + -1(10 + -1z) -5 = 2 + (10 * -1 + -1z * -1) -5 = 2 + (-10 + 1z) Combine like terms: 2 + -10 = -8 -5 = -8 + 1z Solving -5 = -8 + 1z 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. -5 + -1z = -8 + 1z + -1z Combine like terms: 1z + -1z = 0 -5 + -1z = -8 + 0 -5 + -1z = -8 Add '5' to each side of the equation. -5 + 5 + -1z = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1z = -8 + 5 -1z = -8 + 5 Combine like terms: -8 + 5 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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