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Simplifying -0.5(z + 1.5) = -0.6(z + -0.5) Reorder the terms: -0.5(1.5 + z) = -0.6(z + -0.5) (1.5 * -0.5 + z * -0.5) = -0.6(z + -0.5) (-0.75 + -0.5z) = -0.6(z + -0.5) Reorder the terms: -0.75 + -0.5z = -0.6(-0.5 + z) -0.75 + -0.5z = (-0.5 * -0.6 + z * -0.6) -0.75 + -0.5z = (0.3 + -0.6z) Solving -0.75 + -0.5z = 0.3 + -0.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.6z' to each side of the equation. -0.75 + -0.5z + 0.6z = 0.3 + -0.6z + 0.6z Combine like terms: -0.5z + 0.6z = 0.1z -0.75 + 0.1z = 0.3 + -0.6z + 0.6z Combine like terms: -0.6z + 0.6z = 0.0 -0.75 + 0.1z = 0.3 + 0.0 -0.75 + 0.1z = 0.3 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.1z = 0.3 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.1z = 0.3 + 0.75 0.1z = 0.3 + 0.75 Combine like terms: 0.3 + 0.75 = 1.05 0.1z = 1.05 Divide each side by '0.1'. z = 10.5 Simplifying z = 10.5
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