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Simplifying 2z + -8 = -0.5(3 + -5x) Reorder the terms: -8 + 2z = -0.5(3 + -5x) -8 + 2z = (3 * -0.5 + -5x * -0.5) -8 + 2z = (-1.5 + 2.5x) Solving -8 + 2z = -1.5 + 2.5x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2z = -1.5 + 8 + 2.5x Combine like terms: -8 + 8 = 0 0 + 2z = -1.5 + 8 + 2.5x 2z = -1.5 + 8 + 2.5x Combine like terms: -1.5 + 8 = 6.5 2z = 6.5 + 2.5x Divide each side by '2'. z = 3.25 + 1.25x Simplifying z = 3.25 + 1.25x
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