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Simplifying -3(-10t + -8 + 2a) = 0 Reorder the terms: -3(-8 + 2a + -10t) = 0 (-8 * -3 + 2a * -3 + -10t * -3) = 0 (24 + -6a + 30t) = 0 Solving 24 + -6a + 30t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6a + -24 + 30t = 0 + -24 Reorder the terms: 24 + -24 + -6a + 30t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6a + 30t = 0 + -24 -6a + 30t = 0 + -24 Combine like terms: 0 + -24 = -24 -6a + 30t = -24 Add '-30t' to each side of the equation. -6a + 30t + -30t = -24 + -30t Combine like terms: 30t + -30t = 0 -6a + 0 = -24 + -30t -6a = -24 + -30t Divide each side by '-6'. a = 4 + 5t Simplifying a = 4 + 5t
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