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Simplifying 5 + -1(8 + -1a) = 4a + -10 5 + (8 * -1 + -1a * -1) = 4a + -10 5 + (-8 + 1a) = 4a + -10 Combine like terms: 5 + -8 = -3 -3 + 1a = 4a + -10 Reorder the terms: -3 + 1a = -10 + 4a Solving -3 + 1a = -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. -3 + 1a + -4a = -10 + 4a + -4a Combine like terms: 1a + -4a = -3a -3 + -3a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 -3 + -3a = -10 + 0 -3 + -3a = -10 Add '3' to each side of the equation. -3 + 3 + -3a = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -3a = -10 + 3 -3a = -10 + 3 Combine like terms: -10 + 3 = -7 -3a = -7 Divide each side by '-3'. a = 2.333333333 Simplifying a = 2.333333333
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