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Simplifying 8(a + -3) + -5(5(a + -2)) = 10(2a + 8) Reorder the terms: 8(-3 + a) + -5(5(a + -2)) = 10(2a + 8) (-3 * 8 + a * 8) + -5(5(a + -2)) = 10(2a + 8) (-24 + 8a) + -5(5(a + -2)) = 10(2a + 8) Reorder the terms: -24 + 8a + -5(5(-2 + a)) = 10(2a + 8) -24 + 8a + -5((-2 * 5 + a * 5)) = 10(2a + 8) -24 + 8a + -5((-10 + 5a)) = 10(2a + 8) -24 + 8a + (-10 * -5 + 5a * -5) = 10(2a + 8) -24 + 8a + (50 + -25a) = 10(2a + 8) Reorder the terms: -24 + 50 + 8a + -25a = 10(2a + 8) Combine like terms: -24 + 50 = 26 26 + 8a + -25a = 10(2a + 8) Combine like terms: 8a + -25a = -17a 26 + -17a = 10(2a + 8) Reorder the terms: 26 + -17a = 10(8 + 2a) 26 + -17a = (8 * 10 + 2a * 10) 26 + -17a = (80 + 20a) Solving 26 + -17a = 80 + 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. 26 + -17a + -20a = 80 + 20a + -20a Combine like terms: -17a + -20a = -37a 26 + -37a = 80 + 20a + -20a Combine like terms: 20a + -20a = 0 26 + -37a = 80 + 0 26 + -37a = 80 Add '-26' to each side of the equation. 26 + -26 + -37a = 80 + -26 Combine like terms: 26 + -26 = 0 0 + -37a = 80 + -26 -37a = 80 + -26 Combine like terms: 80 + -26 = 54 -37a = 54 Divide each side by '-37'. a = -1.459459459 Simplifying a = -1.459459459
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