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Simplifying -8(a + 3) = -4 + -5(1 + a) Reorder the terms: -8(3 + a) = -4 + -5(1 + a) (3 * -8 + a * -8) = -4 + -5(1 + a) (-24 + -8a) = -4 + -5(1 + a) -24 + -8a = -4 + (1 * -5 + a * -5) -24 + -8a = -4 + (-5 + -5a) Combine like terms: -4 + -5 = -9 -24 + -8a = -9 + -5a Solving -24 + -8a = -9 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -24 + -8a + 5a = -9 + -5a + 5a Combine like terms: -8a + 5a = -3a -24 + -3a = -9 + -5a + 5a Combine like terms: -5a + 5a = 0 -24 + -3a = -9 + 0 -24 + -3a = -9 Add '24' to each side of the equation. -24 + 24 + -3a = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -3a = -9 + 24 -3a = -9 + 24 Combine like terms: -9 + 24 = 15 -3a = 15 Divide each side by '-3'. a = -5 Simplifying a = -5
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