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Simplifying 0.5(z + -2) = -0.11111(z + 3) Reorder the terms: 0.5(-2 + z) = -0.11111(z + 3) (-2 * 0.5 + z * 0.5) = -0.11111(z + 3) (-1 + 0.5z) = -0.11111(z + 3) Reorder the terms: -1 + 0.5z = -0.11111(3 + z) -1 + 0.5z = (3 * -0.11111 + z * -0.11111) -1 + 0.5z = (-0.33333 + -0.11111z) Solving -1 + 0.5z = -0.33333 + -0.11111z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.11111z' to each side of the equation. -1 + 0.5z + 0.11111z = -0.33333 + -0.11111z + 0.11111z Combine like terms: 0.5z + 0.11111z = 0.61111z -1 + 0.61111z = -0.33333 + -0.11111z + 0.11111z Combine like terms: -0.11111z + 0.11111z = 0.00000 -1 + 0.61111z = -0.33333 + 0.00000 -1 + 0.61111z = -0.33333 Add '1' to each side of the equation. -1 + 1 + 0.61111z = -0.33333 + 1 Combine like terms: -1 + 1 = 0 0 + 0.61111z = -0.33333 + 1 0.61111z = -0.33333 + 1 Combine like terms: -0.33333 + 1 = 0.66667 0.61111z = 0.66667 Divide each side by '0.61111'. z = 1.090916529 Simplifying z = 1.090916529
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