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Simplifying 9a + 2 = 3(a + -4) + 2a Reorder the terms: 2 + 9a = 3(a + -4) + 2a Reorder the terms: 2 + 9a = 3(-4 + a) + 2a 2 + 9a = (-4 * 3 + a * 3) + 2a 2 + 9a = (-12 + 3a) + 2a Combine like terms: 3a + 2a = 5a 2 + 9a = -12 + 5a Solving 2 + 9a = -12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 2 + 9a + -5a = -12 + 5a + -5a Combine like terms: 9a + -5a = 4a 2 + 4a = -12 + 5a + -5a Combine like terms: 5a + -5a = 0 2 + 4a = -12 + 0 2 + 4a = -12 Add '-2' to each side of the equation. 2 + -2 + 4a = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 4a = -12 + -2 4a = -12 + -2 Combine like terms: -12 + -2 = -14 4a = -14 Divide each side by '4'. a = -3.5 Simplifying a = -3.5
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