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