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Simplifying a + -1z = -5(39 + -1a) + -3 a + -1z = (39 * -5 + -1a * -5) + -3 a + -1z = (-195 + 5a) + -3 Reorder the terms: a + -1z = -195 + -3 + 5a Combine like terms: -195 + -3 = -198 a + -1z = -198 + 5a Solving a + -1z = -198 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. a + -5a + -1z = -198 + 5a + -5a Combine like terms: a + -5a = -4a -4a + -1z = -198 + 5a + -5a Combine like terms: 5a + -5a = 0 -4a + -1z = -198 + 0 -4a + -1z = -198 Add 'z' to each side of the equation. -4a + -1z + z = -198 + z Combine like terms: -1z + z = 0 -4a + 0 = -198 + z -4a = -198 + z Divide each side by '-4'. a = 49.5 + -0.25z Simplifying a = 49.5 + -0.25z
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