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Simplifying 8(z + 2) + -4(3z + 1) = 0 Reorder the terms: 8(2 + z) + -4(3z + 1) = 0 (2 * 8 + z * 8) + -4(3z + 1) = 0 (16 + 8z) + -4(3z + 1) = 0 Reorder the terms: 16 + 8z + -4(1 + 3z) = 0 16 + 8z + (1 * -4 + 3z * -4) = 0 16 + 8z + (-4 + -12z) = 0 Reorder the terms: 16 + -4 + 8z + -12z = 0 Combine like terms: 16 + -4 = 12 12 + 8z + -12z = 0 Combine like terms: 8z + -12z = -4z 12 + -4z = 0 Solving 12 + -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -4z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = 0 + -12 -4z = 0 + -12 Combine like terms: 0 + -12 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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