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Simplifying -6 = 7 + -1(8 + -1z) -6 = 7 + (8 * -1 + -1z * -1) -6 = 7 + (-8 + 1z) Combine like terms: 7 + -8 = -1 -6 = -1 + 1z Solving -6 = -1 + 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. -6 + -1z = -1 + 1z + -1z Combine like terms: 1z + -1z = 0 -6 + -1z = -1 + 0 -6 + -1z = -1 Add '6' to each side of the equation. -6 + 6 + -1z = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = -1 + 6 -1z = -1 + 6 Combine like terms: -1 + 6 = 5 -1z = 5 Divide each side by '-1'. z = -5 Simplifying z = -5
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