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Simplifying 6a(4x + 3) + -13c(4x + -3) + 20(4x + 3) = 0 Reorder the terms: 6a(3 + 4x) + -13c(4x + -3) + 20(4x + 3) = 0 (3 * 6a + 4x * 6a) + -13c(4x + -3) + 20(4x + 3) = 0 (18a + 24ax) + -13c(4x + -3) + 20(4x + 3) = 0 Reorder the terms: 18a + 24ax + -13c(-3 + 4x) + 20(4x + 3) = 0 18a + 24ax + (-3 * -13c + 4x * -13c) + 20(4x + 3) = 0 18a + 24ax + (39c + -52cx) + 20(4x + 3) = 0 Reorder the terms: 18a + 24ax + 39c + -52cx + 20(3 + 4x) = 0 18a + 24ax + 39c + -52cx + (3 * 20 + 4x * 20) = 0 18a + 24ax + 39c + -52cx + (60 + 80x) = 0 Reorder the terms: 60 + 18a + 24ax + 39c + -52cx + 80x = 0 Solving 60 + 18a + 24ax + 39c + -52cx + 80x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 18a + 24ax + 39c + -52cx + -60 + 80x = 0 + -60 Reorder the terms: 60 + -60 + 18a + 24ax + 39c + -52cx + 80x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 18a + 24ax + 39c + -52cx + 80x = 0 + -60 18a + 24ax + 39c + -52cx + 80x = 0 + -60 Combine like terms: 0 + -60 = -60 18a + 24ax + 39c + -52cx + 80x = -60 Add '-39c' to each side of the equation. 18a + 24ax + 39c + -52cx + -39c + 80x = -60 + -39c Reorder the terms: 18a + 24ax + 39c + -39c + -52cx + 80x = -60 + -39c Combine like terms: 39c + -39c = 0 18a + 24ax + 0 + -52cx + 80x = -60 + -39c 18a + 24ax + -52cx + 80x = -60 + -39c Add '52cx' to each side of the equation. 18a + 24ax + -52cx + 52cx + 80x = -60 + -39c + 52cx Combine like terms: -52cx + 52cx = 0 18a + 24ax + 0 + 80x = -60 + -39c + 52cx 18a + 24ax + 80x = -60 + -39c + 52cx Add '-80x' to each side of the equation. 18a + 24ax + 80x + -80x = -60 + -39c + 52cx + -80x Combine like terms: 80x + -80x = 0 18a + 24ax + 0 = -60 + -39c + 52cx + -80x 18a + 24ax = -60 + -39c + 52cx + -80x Reorder the terms: 60 + 18a + 24ax + 39c + -52cx + 80x = -60 + -39c + 52cx + -80x + 60 + 39c + -52cx + 80x Reorder the terms: 60 + 18a + 24ax + 39c + -52cx + 80x = -60 + 60 + -39c + 39c + 52cx + -52cx + -80x + 80x Combine like terms: -60 + 60 = 0 60 + 18a + 24ax + 39c + -52cx + 80x = 0 + -39c + 39c + 52cx + -52cx + -80x + 80x 60 + 18a + 24ax + 39c + -52cx + 80x = -39c + 39c + 52cx + -52cx + -80x + 80x Combine like terms: -39c + 39c = 0 60 + 18a + 24ax + 39c + -52cx + 80x = 0 + 52cx + -52cx + -80x + 80x 60 + 18a + 24ax + 39c + -52cx + 80x = 52cx + -52cx + -80x + 80x Combine like terms: 52cx + -52cx = 0 60 + 18a + 24ax + 39c + -52cx + 80x = 0 + -80x + 80x 60 + 18a + 24ax + 39c + -52cx + 80x = -80x + 80x Combine like terms: -80x + 80x = 0 60 + 18a + 24ax + 39c + -52cx + 80x = 0 The solution to this equation could not be determined.
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