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Simplifying 5(4z + -1) + -4(z + 2) = 11(z + 1) Reorder the terms: 5(-1 + 4z) + -4(z + 2) = 11(z + 1) (-1 * 5 + 4z * 5) + -4(z + 2) = 11(z + 1) (-5 + 20z) + -4(z + 2) = 11(z + 1) Reorder the terms: -5 + 20z + -4(2 + z) = 11(z + 1) -5 + 20z + (2 * -4 + z * -4) = 11(z + 1) -5 + 20z + (-8 + -4z) = 11(z + 1) Reorder the terms: -5 + -8 + 20z + -4z = 11(z + 1) Combine like terms: -5 + -8 = -13 -13 + 20z + -4z = 11(z + 1) Combine like terms: 20z + -4z = 16z -13 + 16z = 11(z + 1) Reorder the terms: -13 + 16z = 11(1 + z) -13 + 16z = (1 * 11 + z * 11) -13 + 16z = (11 + 11z) Solving -13 + 16z = 11 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -13 + 16z + -11z = 11 + 11z + -11z Combine like terms: 16z + -11z = 5z -13 + 5z = 11 + 11z + -11z Combine like terms: 11z + -11z = 0 -13 + 5z = 11 + 0 -13 + 5z = 11 Add '13' to each side of the equation. -13 + 13 + 5z = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 5z = 11 + 13 5z = 11 + 13 Combine like terms: 11 + 13 = 24 5z = 24 Divide each side by '5'. z = 4.8 Simplifying z = 4.8
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