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Simplifying 5(a + 5) + -2(3a + 4) = -10 Reorder the terms: 5(5 + a) + -2(3a + 4) = -10 (5 * 5 + a * 5) + -2(3a + 4) = -10 (25 + 5a) + -2(3a + 4) = -10 Reorder the terms: 25 + 5a + -2(4 + 3a) = -10 25 + 5a + (4 * -2 + 3a * -2) = -10 25 + 5a + (-8 + -6a) = -10 Reorder the terms: 25 + -8 + 5a + -6a = -10 Combine like terms: 25 + -8 = 17 17 + 5a + -6a = -10 Combine like terms: 5a + -6a = -1a 17 + -1a = -10 Solving 17 + -1a = -10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1a = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -1a = -10 + -17 -1a = -10 + -17 Combine like terms: -10 + -17 = -27 -1a = -27 Divide each side by '-1'. a = 27 Simplifying a = 27
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