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Simplifying -1(5 + 3a) + -3(1 + a) = 4 (5 * -1 + 3a * -1) + -3(1 + a) = 4 (-5 + -3a) + -3(1 + a) = 4 -5 + -3a + (1 * -3 + a * -3) = 4 -5 + -3a + (-3 + -3a) = 4 Reorder the terms: -5 + -3 + -3a + -3a = 4 Combine like terms: -5 + -3 = -8 -8 + -3a + -3a = 4 Combine like terms: -3a + -3a = -6a -8 + -6a = 4 Solving -8 + -6a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6a = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -6a = 4 + 8 -6a = 4 + 8 Combine like terms: 4 + 8 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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