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Simplifying 6a + 9 = 12 + -7(a + 4) Reorder the terms: 9 + 6a = 12 + -7(a + 4) Reorder the terms: 9 + 6a = 12 + -7(4 + a) 9 + 6a = 12 + (4 * -7 + a * -7) 9 + 6a = 12 + (-28 + -7a) Combine like terms: 12 + -28 = -16 9 + 6a = -16 + -7a Solving 9 + 6a = -16 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 9 + 6a + 7a = -16 + -7a + 7a Combine like terms: 6a + 7a = 13a 9 + 13a = -16 + -7a + 7a Combine like terms: -7a + 7a = 0 9 + 13a = -16 + 0 9 + 13a = -16 Add '-9' to each side of the equation. 9 + -9 + 13a = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 13a = -16 + -9 13a = -16 + -9 Combine like terms: -16 + -9 = -25 13a = -25 Divide each side by '13'. a = -1.923076923 Simplifying a = -1.923076923
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