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Simplifying 5(4z + -1) + -3(2 + 8) = 4(2 + 1) Reorder the terms: 5(-1 + 4z) + -3(2 + 8) = 4(2 + 1) (-1 * 5 + 4z * 5) + -3(2 + 8) = 4(2 + 1) (-5 + 20z) + -3(2 + 8) = 4(2 + 1) Combine like terms: 2 + 8 = 10 -5 + 20z + -3(10) = 4(2 + 1) Multiply -3 * 10 -5 + 20z + -30 = 4(2 + 1) Reorder the terms: -5 + -30 + 20z = 4(2 + 1) Combine like terms: -5 + -30 = -35 -35 + 20z = 4(2 + 1) Combine like terms: 2 + 1 = 3 -35 + 20z = 4(3) Multiply 4 * 3 -35 + 20z = 12 Solving -35 + 20z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 20z = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 20z = 12 + 35 20z = 12 + 35 Combine like terms: 12 + 35 = 47 20z = 47 Divide each side by '20'. z = 2.35 Simplifying z = 2.35
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