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Simplifying 8(2a + 4) = 9(3a + -5) Reorder the terms: 8(4 + 2a) = 9(3a + -5) (4 * 8 + 2a * 8) = 9(3a + -5) (32 + 16a) = 9(3a + -5) Reorder the terms: 32 + 16a = 9(-5 + 3a) 32 + 16a = (-5 * 9 + 3a * 9) 32 + 16a = (-45 + 27a) Solving 32 + 16a = -45 + 27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27a' to each side of the equation. 32 + 16a + -27a = -45 + 27a + -27a Combine like terms: 16a + -27a = -11a 32 + -11a = -45 + 27a + -27a Combine like terms: 27a + -27a = 0 32 + -11a = -45 + 0 32 + -11a = -45 Add '-32' to each side of the equation. 32 + -32 + -11a = -45 + -32 Combine like terms: 32 + -32 = 0 0 + -11a = -45 + -32 -11a = -45 + -32 Combine like terms: -45 + -32 = -77 -11a = -77 Divide each side by '-11'. a = 7 Simplifying a = 7
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