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Simplifying 5(3a + -2) + 4(a + 4) = 4a + -24 Reorder the terms: 5(-2 + 3a) + 4(a + 4) = 4a + -24 (-2 * 5 + 3a * 5) + 4(a + 4) = 4a + -24 (-10 + 15a) + 4(a + 4) = 4a + -24 Reorder the terms: -10 + 15a + 4(4 + a) = 4a + -24 -10 + 15a + (4 * 4 + a * 4) = 4a + -24 -10 + 15a + (16 + 4a) = 4a + -24 Reorder the terms: -10 + 16 + 15a + 4a = 4a + -24 Combine like terms: -10 + 16 = 6 6 + 15a + 4a = 4a + -24 Combine like terms: 15a + 4a = 19a 6 + 19a = 4a + -24 Reorder the terms: 6 + 19a = -24 + 4a Solving 6 + 19a = -24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 6 + 19a + -4a = -24 + 4a + -4a Combine like terms: 19a + -4a = 15a 6 + 15a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 6 + 15a = -24 + 0 6 + 15a = -24 Add '-6' to each side of the equation. 6 + -6 + 15a = -24 + -6 Combine like terms: 6 + -6 = 0 0 + 15a = -24 + -6 15a = -24 + -6 Combine like terms: -24 + -6 = -30 15a = -30 Divide each side by '15'. a = -2 Simplifying a = -2
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