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Simplifying 4(5z + -1) + -4(z + 2) = 11(2 + 1) Reorder the terms: 4(-1 + 5z) + -4(z + 2) = 11(2 + 1) (-1 * 4 + 5z * 4) + -4(z + 2) = 11(2 + 1) (-4 + 20z) + -4(z + 2) = 11(2 + 1) Reorder the terms: -4 + 20z + -4(2 + z) = 11(2 + 1) -4 + 20z + (2 * -4 + z * -4) = 11(2 + 1) -4 + 20z + (-8 + -4z) = 11(2 + 1) Reorder the terms: -4 + -8 + 20z + -4z = 11(2 + 1) Combine like terms: -4 + -8 = -12 -12 + 20z + -4z = 11(2 + 1) Combine like terms: 20z + -4z = 16z -12 + 16z = 11(2 + 1) Combine like terms: 2 + 1 = 3 -12 + 16z = 11(3) Multiply 11 * 3 -12 + 16z = 33 Solving -12 + 16z = 33 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16z = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 16z = 33 + 12 16z = 33 + 12 Combine like terms: 33 + 12 = 45 16z = 45 Divide each side by '16'. z = 2.8125 Simplifying z = 2.8125
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