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Simplifying 5a + -1(8a + -8) = 4a + -10 Reorder the terms: 5a + -1(-8 + 8a) = 4a + -10 5a + (-8 * -1 + 8a * -1) = 4a + -10 5a + (8 + -8a) = 4a + -10 Reorder the terms: 8 + 5a + -8a = 4a + -10 Combine like terms: 5a + -8a = -3a 8 + -3a = 4a + -10 Reorder the terms: 8 + -3a = -10 + 4a Solving 8 + -3a = -10 + 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. 8 + -3a + -4a = -10 + 4a + -4a Combine like terms: -3a + -4a = -7a 8 + -7a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 8 + -7a = -10 + 0 8 + -7a = -10 Add '-8' to each side of the equation. 8 + -8 + -7a = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = -10 + -8 -7a = -10 + -8 Combine like terms: -10 + -8 = -18 -7a = -18 Divide each side by '-7'. a = 2.571428571 Simplifying a = 2.571428571
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