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Simplifying -8(z + 1) + -1(-6z + -8) = -3z Reorder the terms: -8(1 + z) + -1(-6z + -8) = -3z (1 * -8 + z * -8) + -1(-6z + -8) = -3z (-8 + -8z) + -1(-6z + -8) = -3z Reorder the terms: -8 + -8z + -1(-8 + -6z) = -3z -8 + -8z + (-8 * -1 + -6z * -1) = -3z -8 + -8z + (8 + 6z) = -3z Reorder the terms: -8 + 8 + -8z + 6z = -3z Combine like terms: -8 + 8 = 0 0 + -8z + 6z = -3z -8z + 6z = -3z Combine like terms: -8z + 6z = -2z -2z = -3z Solving -2z = -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. -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z 1z = -3z + 3z Combine like terms: -3z + 3z = 0 1z = 0 Divide each side by '1'. z = 0 Simplifying z = 0
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