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Simplifying 5a + -1[8 + -1a] = 4a + -10 5a + [8 * -1 + -1a * -1] = 4a + -10 5a + [-8 + 1a] = 4a + -10 Reorder the terms: -8 + 5a + 1a = 4a + -10 Combine like terms: 5a + 1a = 6a -8 + 6a = 4a + -10 Reorder the terms: -8 + 6a = -10 + 4a Solving -8 + 6a = -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 + 6a + -4a = -10 + 4a + -4a Combine like terms: 6a + -4a = 2a -8 + 2a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 -8 + 2a = -10 + 0 -8 + 2a = -10 Add '8' to each side of the equation. -8 + 8 + 2a = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2a = -10 + 8 2a = -10 + 8 Combine like terms: -10 + 8 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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