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Simplifying 8(2 + -4a) + a = 2a + -9 (2 * 8 + -4a * 8) + a = 2a + -9 (16 + -32a) + a = 2a + -9 Combine like terms: -32a + a = -31a 16 + -31a = 2a + -9 Reorder the terms: 16 + -31a = -9 + 2a Solving 16 + -31a = -9 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 16 + -31a + -2a = -9 + 2a + -2a Combine like terms: -31a + -2a = -33a 16 + -33a = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 16 + -33a = -9 + 0 16 + -33a = -9 Add '-16' to each side of the equation. 16 + -16 + -33a = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -33a = -9 + -16 -33a = -9 + -16 Combine like terms: -9 + -16 = -25 -33a = -25 Divide each side by '-33'. a = 0.7575757576 Simplifying a = 0.7575757576
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