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Simplifying 5a + -8(8 + -1a) = 4a + -10 5a + (8 * -8 + -1a * -8) = 4a + -10 5a + (-64 + 8a) = 4a + -10 Reorder the terms: -64 + 5a + 8a = 4a + -10 Combine like terms: 5a + 8a = 13a -64 + 13a = 4a + -10 Reorder the terms: -64 + 13a = -10 + 4a Solving -64 + 13a = -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. -64 + 13a + -4a = -10 + 4a + -4a Combine like terms: 13a + -4a = 9a -64 + 9a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 -64 + 9a = -10 + 0 -64 + 9a = -10 Add '64' to each side of the equation. -64 + 64 + 9a = -10 + 64 Combine like terms: -64 + 64 = 0 0 + 9a = -10 + 64 9a = -10 + 64 Combine like terms: -10 + 64 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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