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Simplifying 3(a + -8) + 4(2a + -5(a + 3)) = -3 Reorder the terms: 3(-8 + a) + 4(2a + -5(a + 3)) = -3 (-8 * 3 + a * 3) + 4(2a + -5(a + 3)) = -3 (-24 + 3a) + 4(2a + -5(a + 3)) = -3 Reorder the terms: -24 + 3a + 4(2a + -5(3 + a)) = -3 -24 + 3a + 4(2a + (3 * -5 + a * -5)) = -3 -24 + 3a + 4(2a + (-15 + -5a)) = -3 Reorder the terms: -24 + 3a + 4(-15 + 2a + -5a) = -3 Combine like terms: 2a + -5a = -3a -24 + 3a + 4(-15 + -3a) = -3 -24 + 3a + (-15 * 4 + -3a * 4) = -3 -24 + 3a + (-60 + -12a) = -3 Reorder the terms: -24 + -60 + 3a + -12a = -3 Combine like terms: -24 + -60 = -84 -84 + 3a + -12a = -3 Combine like terms: 3a + -12a = -9a -84 + -9a = -3 Solving -84 + -9a = -3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -9a = -3 + 84 Combine like terms: -84 + 84 = 0 0 + -9a = -3 + 84 -9a = -3 + 84 Combine like terms: -3 + 84 = 81 -9a = 81 Divide each side by '-9'. a = -9 Simplifying a = -9
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