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Simplifying 2(4x + -12) + 3a = 6a + 1 Reorder the terms: 2(-12 + 4x) + 3a = 6a + 1 (-12 * 2 + 4x * 2) + 3a = 6a + 1 (-24 + 8x) + 3a = 6a + 1 Reorder the terms: -24 + 3a + 8x = 6a + 1 Reorder the terms: -24 + 3a + 8x = 1 + 6a Solving -24 + 3a + 8x = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -24 + 3a + -6a + 8x = 1 + 6a + -6a Combine like terms: 3a + -6a = -3a -24 + -3a + 8x = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + -3a + 8x = 1 + 0 -24 + -3a + 8x = 1 Add '24' to each side of the equation. -24 + -3a + 24 + 8x = 1 + 24 Reorder the terms: -24 + 24 + -3a + 8x = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -3a + 8x = 1 + 24 -3a + 8x = 1 + 24 Combine like terms: 1 + 24 = 25 -3a + 8x = 25 Add '-8x' to each side of the equation. -3a + 8x + -8x = 25 + -8x Combine like terms: 8x + -8x = 0 -3a + 0 = 25 + -8x -3a = 25 + -8x Divide each side by '-3'. a = -8.333333333 + 2.666666667x Simplifying a = -8.333333333 + 2.666666667x
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