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Simplifying -1.2(z + -0.5) = -0.2(z + -1y) Reorder the terms: -1.2(-0.5 + z) = -0.2(z + -1y) (-0.5 * -1.2 + z * -1.2) = -0.2(z + -1y) (0.6 + -1.2z) = -0.2(z + -1y) Reorder the terms: 0.6 + -1.2z = -0.2(-1y + z) 0.6 + -1.2z = (-1y * -0.2 + z * -0.2) 0.6 + -1.2z = (0.2y + -0.2z) Solving 0.6 + -1.2z = 0.2y + -0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.2z' to each side of the equation. 0.6 + -1.2z + 0.2z = 0.2y + -0.2z + 0.2z Combine like terms: -1.2z + 0.2z = -1z 0.6 + -1z = 0.2y + -0.2z + 0.2z Combine like terms: -0.2z + 0.2z = 0.0 0.6 + -1z = 0.2y + 0.0 0.6 + -1z = 0.2y Add '-0.6' to each side of the equation. 0.6 + -0.6 + -1z = -0.6 + 0.2y Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1z = -0.6 + 0.2y -1z = -0.6 + 0.2y Divide each side by '-1'. z = 0.6 + -0.2y Simplifying z = 0.6 + -0.2y
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