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Simplifying -6(z + 2) + -1(2 + -4z) = -3z Reorder the terms: -6(2 + z) + -1(2 + -4z) = -3z (2 * -6 + z * -6) + -1(2 + -4z) = -3z (-12 + -6z) + -1(2 + -4z) = -3z -12 + -6z + (2 * -1 + -4z * -1) = -3z -12 + -6z + (-2 + 4z) = -3z Reorder the terms: -12 + -2 + -6z + 4z = -3z Combine like terms: -12 + -2 = -14 -14 + -6z + 4z = -3z Combine like terms: -6z + 4z = -2z -14 + -2z = -3z Solving -14 + -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. -14 + -2z + 3z = -3z + 3z Combine like terms: -2z + 3z = 1z -14 + 1z = -3z + 3z Combine like terms: -3z + 3z = 0 -14 + 1z = 0 Add '14' to each side of the equation. -14 + 14 + 1z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1z = 0 + 14 1z = 0 + 14 Combine like terms: 0 + 14 = 14 1z = 14 Divide each side by '1'. z = 14 Simplifying z = 14
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