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Simplifying 8(a + 2) + -7(3a + -2) = -9 Reorder the terms: 8(2 + a) + -7(3a + -2) = -9 (2 * 8 + a * 8) + -7(3a + -2) = -9 (16 + 8a) + -7(3a + -2) = -9 Reorder the terms: 16 + 8a + -7(-2 + 3a) = -9 16 + 8a + (-2 * -7 + 3a * -7) = -9 16 + 8a + (14 + -21a) = -9 Reorder the terms: 16 + 14 + 8a + -21a = -9 Combine like terms: 16 + 14 = 30 30 + 8a + -21a = -9 Combine like terms: 8a + -21a = -13a 30 + -13a = -9 Solving 30 + -13a = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -13a = -9 + -30 Combine like terms: 30 + -30 = 0 0 + -13a = -9 + -30 -13a = -9 + -30 Combine like terms: -9 + -30 = -39 -13a = -39 Divide each side by '-13'. a = 3 Simplifying a = 3
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