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Simplifying 2(4 + -12) + 3a = 6a + 1 Combine like terms: 4 + -12 = -8 2(-8) + 3a = 6a + 1 Multiply 2 * -8 -16 + 3a = 6a + 1 Reorder the terms: -16 + 3a = 1 + 6a Solving -16 + 3a = 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. -16 + 3a + -6a = 1 + 6a + -6a Combine like terms: 3a + -6a = -3a -16 + -3a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 -16 + -3a = 1 + 0 -16 + -3a = 1 Add '16' to each side of the equation. -16 + 16 + -3a = 1 + 16 Combine like terms: -16 + 16 = 0 0 + -3a = 1 + 16 -3a = 1 + 16 Combine like terms: 1 + 16 = 17 -3a = 17 Divide each side by '-3'. a = -5.666666667 Simplifying a = -5.666666667
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