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Simplifying 2z + -8 = -0.5(3 + -5z) Reorder the terms: -8 + 2z = -0.5(3 + -5z) -8 + 2z = (3 * -0.5 + -5z * -0.5) -8 + 2z = (-1.5 + 2.5z) Solving -8 + 2z = -1.5 + 2.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.5z' to each side of the equation. -8 + 2z + -2.5z = -1.5 + 2.5z + -2.5z Combine like terms: 2z + -2.5z = -0.5z -8 + -0.5z = -1.5 + 2.5z + -2.5z Combine like terms: 2.5z + -2.5z = 0.0 -8 + -0.5z = -1.5 + 0.0 -8 + -0.5z = -1.5 Add '8' to each side of the equation. -8 + 8 + -0.5z = -1.5 + 8 Combine like terms: -8 + 8 = 0 0 + -0.5z = -1.5 + 8 -0.5z = -1.5 + 8 Combine like terms: -1.5 + 8 = 6.5 -0.5z = 6.5 Divide each side by '-0.5'. z = -13 Simplifying z = -13
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