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Simplifying -19 + 3a = -4(5a + 2) Reorder the terms: -19 + 3a = -4(2 + 5a) -19 + 3a = (2 * -4 + 5a * -4) -19 + 3a = (-8 + -20a) Solving -19 + 3a = -8 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. -19 + 3a + 20a = -8 + -20a + 20a Combine like terms: 3a + 20a = 23a -19 + 23a = -8 + -20a + 20a Combine like terms: -20a + 20a = 0 -19 + 23a = -8 + 0 -19 + 23a = -8 Add '19' to each side of the equation. -19 + 19 + 23a = -8 + 19 Combine like terms: -19 + 19 = 0 0 + 23a = -8 + 19 23a = -8 + 19 Combine like terms: -8 + 19 = 11 23a = 11 Divide each side by '23'. a = 0.4782608696 Simplifying a = 0.4782608696
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