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Simplifying 8(3a + 5) + -7(4a + -3) = 20 + -3a Reorder the terms: 8(5 + 3a) + -7(4a + -3) = 20 + -3a (5 * 8 + 3a * 8) + -7(4a + -3) = 20 + -3a (40 + 24a) + -7(4a + -3) = 20 + -3a Reorder the terms: 40 + 24a + -7(-3 + 4a) = 20 + -3a 40 + 24a + (-3 * -7 + 4a * -7) = 20 + -3a 40 + 24a + (21 + -28a) = 20 + -3a Reorder the terms: 40 + 21 + 24a + -28a = 20 + -3a Combine like terms: 40 + 21 = 61 61 + 24a + -28a = 20 + -3a Combine like terms: 24a + -28a = -4a 61 + -4a = 20 + -3a Solving 61 + -4a = 20 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 61 + -4a + 3a = 20 + -3a + 3a Combine like terms: -4a + 3a = -1a 61 + -1a = 20 + -3a + 3a Combine like terms: -3a + 3a = 0 61 + -1a = 20 + 0 61 + -1a = 20 Add '-61' to each side of the equation. 61 + -61 + -1a = 20 + -61 Combine like terms: 61 + -61 = 0 0 + -1a = 20 + -61 -1a = 20 + -61 Combine like terms: 20 + -61 = -41 -1a = -41 Divide each side by '-1'. a = 41 Simplifying a = 41
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