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Simplifying -2(3z + -4) + -2(z + -3) = 0 Reorder the terms: -2(-4 + 3z) + -2(z + -3) = 0 (-4 * -2 + 3z * -2) + -2(z + -3) = 0 (8 + -6z) + -2(z + -3) = 0 Reorder the terms: 8 + -6z + -2(-3 + z) = 0 8 + -6z + (-3 * -2 + z * -2) = 0 8 + -6z + (6 + -2z) = 0 Reorder the terms: 8 + 6 + -6z + -2z = 0 Combine like terms: 8 + 6 = 14 14 + -6z + -2z = 0 Combine like terms: -6z + -2z = -8z 14 + -8z = 0 Solving 14 + -8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -8z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -8z = 0 + -14 -8z = 0 + -14 Combine like terms: 0 + -14 = -14 -8z = -14 Divide each side by '-8'. z = 1.75 Simplifying z = 1.75
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