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Simplifying 8(4a + -3) + -5(5a + 4) = 19 Reorder the terms: 8(-3 + 4a) + -5(5a + 4) = 19 (-3 * 8 + 4a * 8) + -5(5a + 4) = 19 (-24 + 32a) + -5(5a + 4) = 19 Reorder the terms: -24 + 32a + -5(4 + 5a) = 19 -24 + 32a + (4 * -5 + 5a * -5) = 19 -24 + 32a + (-20 + -25a) = 19 Reorder the terms: -24 + -20 + 32a + -25a = 19 Combine like terms: -24 + -20 = -44 -44 + 32a + -25a = 19 Combine like terms: 32a + -25a = 7a -44 + 7a = 19 Solving -44 + 7a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 7a = 19 + 44 Combine like terms: -44 + 44 = 0 0 + 7a = 19 + 44 7a = 19 + 44 Combine like terms: 19 + 44 = 63 7a = 63 Divide each side by '7'. a = 9 Simplifying a = 9
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