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Simplifying 4(z + -2) + 3(4 + 4) = -12 Reorder the terms: 4(-2 + z) + 3(4 + 4) = -12 (-2 * 4 + z * 4) + 3(4 + 4) = -12 (-8 + 4z) + 3(4 + 4) = -12 Combine like terms: 4 + 4 = 8 -8 + 4z + 3(8) = -12 Multiply 3 * 8 -8 + 4z + 24 = -12 Reorder the terms: -8 + 24 + 4z = -12 Combine like terms: -8 + 24 = 16 16 + 4z = -12 Solving 16 + 4z = -12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4z = -12 + -16 Combine like terms: 16 + -16 = 0 0 + 4z = -12 + -16 4z = -12 + -16 Combine like terms: -12 + -16 = -28 4z = -28 Divide each side by '4'. z = -7 Simplifying z = -7
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