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Simplifying -2(z + 3) + -1z + -1z + -4(z + 2) = 0 Reorder the terms: -2(3 + z) + -1z + -1z + -4(z + 2) = 0 (3 * -2 + z * -2) + -1z + -1z + -4(z + 2) = 0 (-6 + -2z) + -1z + -1z + -4(z + 2) = 0 Reorder the terms: -6 + -2z + -1z + -1z + -4(2 + z) = 0 -6 + -2z + -1z + -1z + (2 * -4 + z * -4) = 0 -6 + -2z + -1z + -1z + (-8 + -4z) = 0 Reorder the terms: -6 + -8 + -2z + -1z + -1z + -4z = 0 Combine like terms: -6 + -8 = -14 -14 + -2z + -1z + -1z + -4z = 0 Combine like terms: -2z + -1z = -3z -14 + -3z + -1z + -4z = 0 Combine like terms: -3z + -1z = -4z -14 + -4z + -4z = 0 Combine like terms: -4z + -4z = -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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