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Simplifying 5(6z + -1) + -4(z + 5) = 22(2 + 1) Reorder the terms: 5(-1 + 6z) + -4(z + 5) = 22(2 + 1) (-1 * 5 + 6z * 5) + -4(z + 5) = 22(2 + 1) (-5 + 30z) + -4(z + 5) = 22(2 + 1) Reorder the terms: -5 + 30z + -4(5 + z) = 22(2 + 1) -5 + 30z + (5 * -4 + z * -4) = 22(2 + 1) -5 + 30z + (-20 + -4z) = 22(2 + 1) Reorder the terms: -5 + -20 + 30z + -4z = 22(2 + 1) Combine like terms: -5 + -20 = -25 -25 + 30z + -4z = 22(2 + 1) Combine like terms: 30z + -4z = 26z -25 + 26z = 22(2 + 1) Combine like terms: 2 + 1 = 3 -25 + 26z = 22(3) Multiply 22 * 3 -25 + 26z = 66 Solving -25 + 26z = 66 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 26z = 66 + 25 Combine like terms: -25 + 25 = 0 0 + 26z = 66 + 25 26z = 66 + 25 Combine like terms: 66 + 25 = 91 26z = 91 Divide each side by '26'. z = 3.5 Simplifying z = 3.5
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