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Simplifying 4(a + 8) = 9[a + -1(2 + -4)] Reorder the terms: 4(8 + a) = 9[a + -1(2 + -4)] (8 * 4 + a * 4) = 9[a + -1(2 + -4)] (32 + 4a) = 9[a + -1(2 + -4)] Combine like terms: 2 + -4 = -2 32 + 4a = 9[a + -1(-2)] Multiply -1 * -2 32 + 4a = 9[a + 2] Reorder the terms: 32 + 4a = 9[2 + a] 32 + 4a = [2 * 9 + a * 9] 32 + 4a = [18 + 9a] Solving 32 + 4a = 18 + 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. 32 + 4a + -9a = 18 + 9a + -9a Combine like terms: 4a + -9a = -5a 32 + -5a = 18 + 9a + -9a Combine like terms: 9a + -9a = 0 32 + -5a = 18 + 0 32 + -5a = 18 Add '-32' to each side of the equation. 32 + -32 + -5a = 18 + -32 Combine like terms: 32 + -32 = 0 0 + -5a = 18 + -32 -5a = 18 + -32 Combine like terms: 18 + -32 = -14 -5a = -14 Divide each side by '-5'. a = 2.8 Simplifying a = 2.8
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