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Simplifying 2(4z + 3 + -8) = 46 Reorder the terms: 2(3 + -8 + 4z) = 46 Combine like terms: 3 + -8 = -5 2(-5 + 4z) = 46 (-5 * 2 + 4z * 2) = 46 (-10 + 8z) = 46 Solving -10 + 8z = 46 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8z = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 8z = 46 + 10 8z = 46 + 10 Combine like terms: 46 + 10 = 56 8z = 56 Divide each side by '8'. z = 7 Simplifying z = 7
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