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Simplifying 5a + -3(3a + 1) + -8a = 45 Reorder the terms: 5a + -3(1 + 3a) + -8a = 45 5a + (1 * -3 + 3a * -3) + -8a = 45 5a + (-3 + -9a) + -8a = 45 Reorder the terms: -3 + 5a + -9a + -8a = 45 Combine like terms: 5a + -9a = -4a -3 + -4a + -8a = 45 Combine like terms: -4a + -8a = -12a -3 + -12a = 45 Solving -3 + -12a = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -12a = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -12a = 45 + 3 -12a = 45 + 3 Combine like terms: 45 + 3 = 48 -12a = 48 Divide each side by '-12'. a = -4 Simplifying a = -4
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