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Simplifying -6(z + 8) + -1(8 + -4z) = -3z Reorder the terms: -6(8 + z) + -1(8 + -4z) = -3z (8 * -6 + z * -6) + -1(8 + -4z) = -3z (-48 + -6z) + -1(8 + -4z) = -3z -48 + -6z + (8 * -1 + -4z * -1) = -3z -48 + -6z + (-8 + 4z) = -3z Reorder the terms: -48 + -8 + -6z + 4z = -3z Combine like terms: -48 + -8 = -56 -56 + -6z + 4z = -3z Combine like terms: -6z + 4z = -2z -56 + -2z = -3z Solving -56 + -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. -56 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z -56 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 -56 + 1z = 0 Add '56' to each side of the equation. -56 + 56 + 1z = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 1z = 0 + 56 1z = 0 + 56 Combine like terms: 0 + 56 = 56 1z = 56 Divide each side by '1'. z = 56 Simplifying z = 56
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