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Simplifying -3a(t + 5) + (4t + 2) = 8 Reorder the terms: -3a(5 + t) + (4t + 2) = 8 (5 * -3a + t * -3a) + (4t + 2) = 8 (-15a + -3at) + (4t + 2) = 8 Reorder the terms: -15a + -3at + (2 + 4t) = 8 Remove parenthesis around (2 + 4t) -15a + -3at + 2 + 4t = 8 Reorder the terms: 2 + -15a + -3at + 4t = 8 Solving 2 + -15a + -3at + 4t = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -15a + -3at + -2 + 4t = 8 + -2 Reorder the terms: 2 + -2 + -15a + -3at + 4t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -15a + -3at + 4t = 8 + -2 -15a + -3at + 4t = 8 + -2 Combine like terms: 8 + -2 = 6 -15a + -3at + 4t = 6 Add '-4t' to each side of the equation. -15a + -3at + 4t + -4t = 6 + -4t Combine like terms: 4t + -4t = 0 -15a + -3at + 0 = 6 + -4t -15a + -3at = 6 + -4t Reorder the terms: -6 + -15a + -3at + 4t = 6 + -4t + -6 + 4t Reorder the terms: -6 + -15a + -3at + 4t = 6 + -6 + -4t + 4t Combine like terms: 6 + -6 = 0 -6 + -15a + -3at + 4t = 0 + -4t + 4t -6 + -15a + -3at + 4t = -4t + 4t Combine like terms: -4t + 4t = 0 -6 + -15a + -3at + 4t = 0 The solution to this equation could not be determined.
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