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Simplifying -8 = 7 + -1(10 + -1z) -8 = 7 + (10 * -1 + -1z * -1) -8 = 7 + (-10 + 1z) Combine like terms: 7 + -10 = -3 -8 = -3 + 1z Solving -8 = -3 + 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. -8 + -1z = -3 + 1z + -1z Combine like terms: 1z + -1z = 0 -8 + -1z = -3 + 0 -8 + -1z = -3 Add '8' to each side of the equation. -8 + 8 + -1z = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = -3 + 8 -1z = -3 + 8 Combine like terms: -3 + 8 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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