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Simplifying 5(4z + -1) + -2(2 + 9) = 16(2 + 1) Reorder the terms: 5(-1 + 4z) + -2(2 + 9) = 16(2 + 1) (-1 * 5 + 4z * 5) + -2(2 + 9) = 16(2 + 1) (-5 + 20z) + -2(2 + 9) = 16(2 + 1) Combine like terms: 2 + 9 = 11 -5 + 20z + -2(11) = 16(2 + 1) Multiply -2 * 11 -5 + 20z + -22 = 16(2 + 1) Reorder the terms: -5 + -22 + 20z = 16(2 + 1) Combine like terms: -5 + -22 = -27 -27 + 20z = 16(2 + 1) Combine like terms: 2 + 1 = 3 -27 + 20z = 16(3) Multiply 16 * 3 -27 + 20z = 48 Solving -27 + 20z = 48 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 20z = 48 + 27 Combine like terms: -27 + 27 = 0 0 + 20z = 48 + 27 20z = 48 + 27 Combine like terms: 48 + 27 = 75 20z = 75 Divide each side by '20'. z = 3.75 Simplifying z = 3.75
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