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Simplifying 5(4z + -1) + -4(z + 8) = 7(2 + 1) Reorder the terms: 5(-1 + 4z) + -4(z + 8) = 7(2 + 1) (-1 * 5 + 4z * 5) + -4(z + 8) = 7(2 + 1) (-5 + 20z) + -4(z + 8) = 7(2 + 1) Reorder the terms: -5 + 20z + -4(8 + z) = 7(2 + 1) -5 + 20z + (8 * -4 + z * -4) = 7(2 + 1) -5 + 20z + (-32 + -4z) = 7(2 + 1) Reorder the terms: -5 + -32 + 20z + -4z = 7(2 + 1) Combine like terms: -5 + -32 = -37 -37 + 20z + -4z = 7(2 + 1) Combine like terms: 20z + -4z = 16z -37 + 16z = 7(2 + 1) Combine like terms: 2 + 1 = 3 -37 + 16z = 7(3) Multiply 7 * 3 -37 + 16z = 21 Solving -37 + 16z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 16z = 21 + 37 Combine like terms: -37 + 37 = 0 0 + 16z = 21 + 37 16z = 21 + 37 Combine like terms: 21 + 37 = 58 16z = 58 Divide each side by '16'. z = 3.625 Simplifying z = 3.625
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