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Simplifying -6(z + 8) + -1(8 + -4z) = -32 Reorder the terms: -6(8 + z) + -1(8 + -4z) = -32 (8 * -6 + z * -6) + -1(8 + -4z) = -32 (-48 + -6z) + -1(8 + -4z) = -32 -48 + -6z + (8 * -1 + -4z * -1) = -32 -48 + -6z + (-8 + 4z) = -32 Reorder the terms: -48 + -8 + -6z + 4z = -32 Combine like terms: -48 + -8 = -56 -56 + -6z + 4z = -32 Combine like terms: -6z + 4z = -2z -56 + -2z = -32 Solving -56 + -2z = -32 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -2z = -32 + 56 Combine like terms: -56 + 56 = 0 0 + -2z = -32 + 56 -2z = -32 + 56 Combine like terms: -32 + 56 = 24 -2z = 24 Divide each side by '-2'. z = -12 Simplifying z = -12
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