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Simplifying 2(4z + -3 + -21) = 166 + -46 Reorder the terms: 2(-3 + -21 + 4z) = 166 + -46 Combine like terms: -3 + -21 = -24 2(-24 + 4z) = 166 + -46 (-24 * 2 + 4z * 2) = 166 + -46 (-48 + 8z) = 166 + -46 Combine like terms: 166 + -46 = 120 -48 + 8z = 120 Solving -48 + 8z = 120 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 8z = 120 + 48 Combine like terms: -48 + 48 = 0 0 + 8z = 120 + 48 8z = 120 + 48 Combine like terms: 120 + 48 = 168 8z = 168 Divide each side by '8'. z = 21 Simplifying z = 21
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