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Simplifying 2(z + -4) = 0.5(3z + -1) Reorder the terms: 2(-4 + z) = 0.5(3z + -1) (-4 * 2 + z * 2) = 0.5(3z + -1) (-8 + 2z) = 0.5(3z + -1) Reorder the terms: -8 + 2z = 0.5(-1 + 3z) -8 + 2z = (-1 * 0.5 + 3z * 0.5) -8 + 2z = (-0.5 + 1.5z) Solving -8 + 2z = -0.5 + 1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5z' to each side of the equation. -8 + 2z + -1.5z = -0.5 + 1.5z + -1.5z Combine like terms: 2z + -1.5z = 0.5z -8 + 0.5z = -0.5 + 1.5z + -1.5z Combine like terms: 1.5z + -1.5z = 0.0 -8 + 0.5z = -0.5 + 0.0 -8 + 0.5z = -0.5 Add '8' to each side of the equation. -8 + 8 + 0.5z = -0.5 + 8 Combine like terms: -8 + 8 = 0 0 + 0.5z = -0.5 + 8 0.5z = -0.5 + 8 Combine like terms: -0.5 + 8 = 7.5 0.5z = 7.5 Divide each side by '0.5'. z = 15 Simplifying z = 15
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