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Simplifying 3(4a + -12) + 3a = 6a + 1 Reorder the terms: 3(-12 + 4a) + 3a = 6a + 1 (-12 * 3 + 4a * 3) + 3a = 6a + 1 (-36 + 12a) + 3a = 6a + 1 Combine like terms: 12a + 3a = 15a -36 + 15a = 6a + 1 Reorder the terms: -36 + 15a = 1 + 6a Solving -36 + 15a = 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. -36 + 15a + -6a = 1 + 6a + -6a Combine like terms: 15a + -6a = 9a -36 + 9a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + 9a = 1 + 0 -36 + 9a = 1 Add '36' to each side of the equation. -36 + 36 + 9a = 1 + 36 Combine like terms: -36 + 36 = 0 0 + 9a = 1 + 36 9a = 1 + 36 Combine like terms: 1 + 36 = 37 9a = 37 Divide each side by '9'. a = 4.111111111 Simplifying a = 4.111111111
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