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Simplifying -3(8 + -7a) = -4(1 + -4a) (8 * -3 + -7a * -3) = -4(1 + -4a) (-24 + 21a) = -4(1 + -4a) -24 + 21a = (1 * -4 + -4a * -4) -24 + 21a = (-4 + 16a) Solving -24 + 21a = -4 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -24 + 21a + -16a = -4 + 16a + -16a Combine like terms: 21a + -16a = 5a -24 + 5a = -4 + 16a + -16a Combine like terms: 16a + -16a = 0 -24 + 5a = -4 + 0 -24 + 5a = -4 Add '24' to each side of the equation. -24 + 24 + 5a = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 5a = -4 + 24 5a = -4 + 24 Combine like terms: -4 + 24 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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