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Simplifying -10(-3z + -1 + 10a) = 0 Reorder the terms: -10(-1 + 10a + -3z) = 0 (-1 * -10 + 10a * -10 + -3z * -10) = 0 (10 + -100a + 30z) = 0 Solving 10 + -100a + 30z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -100a + -10 + 30z = 0 + -10 Reorder the terms: 10 + -10 + -100a + 30z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -100a + 30z = 0 + -10 -100a + 30z = 0 + -10 Combine like terms: 0 + -10 = -10 -100a + 30z = -10 Add '-30z' to each side of the equation. -100a + 30z + -30z = -10 + -30z Combine like terms: 30z + -30z = 0 -100a + 0 = -10 + -30z -100a = -10 + -30z Divide each side by '-100'. a = 0.1 + 0.3z Simplifying a = 0.1 + 0.3z
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