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Simplifying 4(a + 3) + -3(a + 5) = -6 Reorder the terms: 4(3 + a) + -3(a + 5) = -6 (3 * 4 + a * 4) + -3(a + 5) = -6 (12 + 4a) + -3(a + 5) = -6 Reorder the terms: 12 + 4a + -3(5 + a) = -6 12 + 4a + (5 * -3 + a * -3) = -6 12 + 4a + (-15 + -3a) = -6 Reorder the terms: 12 + -15 + 4a + -3a = -6 Combine like terms: 12 + -15 = -3 -3 + 4a + -3a = -6 Combine like terms: 4a + -3a = 1a -3 + 1a = -6 Solving -3 + 1a = -6 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 + 1a = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 1a = -6 + 3 1a = -6 + 3 Combine like terms: -6 + 3 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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