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Simplifying 3x + -12 + 2a = -3a + 14 Reorder the terms: -12 + 2a + 3x = -3a + 14 Reorder the terms: -12 + 2a + 3x = 14 + -3a Solving -12 + 2a + 3x = 14 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -12 + 2a + 3a + 3x = 14 + -3a + 3a Combine like terms: 2a + 3a = 5a -12 + 5a + 3x = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 -12 + 5a + 3x = 14 + 0 -12 + 5a + 3x = 14 Add '12' to each side of the equation. -12 + 5a + 12 + 3x = 14 + 12 Reorder the terms: -12 + 12 + 5a + 3x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 5a + 3x = 14 + 12 5a + 3x = 14 + 12 Combine like terms: 14 + 12 = 26 5a + 3x = 26 Add '-3x' to each side of the equation. 5a + 3x + -3x = 26 + -3x Combine like terms: 3x + -3x = 0 5a + 0 = 26 + -3x 5a = 26 + -3x Divide each side by '5'. a = 5.2 + -0.6x Simplifying a = 5.2 + -0.6x
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