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Simplifying 9 + 5a = -1a + -2(-5a + -4) Reorder the terms: 9 + 5a = -1a + -2(-4 + -5a) 9 + 5a = -1a + (-4 * -2 + -5a * -2) 9 + 5a = -1a + (8 + 10a) Reorder the terms: 9 + 5a = 8 + -1a + 10a Combine like terms: -1a + 10a = 9a 9 + 5a = 8 + 9a Solving 9 + 5a = 8 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 9 + 5a + -9a = 8 + 9a + -9a Combine like terms: 5a + -9a = -4a 9 + -4a = 8 + 9a + -9a Combine like terms: 9a + -9a = 0 9 + -4a = 8 + 0 9 + -4a = 8 Add '-9' to each side of the equation. 9 + -9 + -4a = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = 8 + -9 -4a = 8 + -9 Combine like terms: 8 + -9 = -1 -4a = -1 Divide each side by '-4'. a = 0.25 Simplifying a = 0.25
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