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Simplifying -1(5a + -3) + -1(5a + -5) = 16 + -1(5a + 3) Reorder the terms: -1(-3 + 5a) + -1(5a + -5) = 16 + -1(5a + 3) (-3 * -1 + 5a * -1) + -1(5a + -5) = 16 + -1(5a + 3) (3 + -5a) + -1(5a + -5) = 16 + -1(5a + 3) Reorder the terms: 3 + -5a + -1(-5 + 5a) = 16 + -1(5a + 3) 3 + -5a + (-5 * -1 + 5a * -1) = 16 + -1(5a + 3) 3 + -5a + (5 + -5a) = 16 + -1(5a + 3) Reorder the terms: 3 + 5 + -5a + -5a = 16 + -1(5a + 3) Combine like terms: 3 + 5 = 8 8 + -5a + -5a = 16 + -1(5a + 3) Combine like terms: -5a + -5a = -10a 8 + -10a = 16 + -1(5a + 3) Reorder the terms: 8 + -10a = 16 + -1(3 + 5a) 8 + -10a = 16 + (3 * -1 + 5a * -1) 8 + -10a = 16 + (-3 + -5a) Combine like terms: 16 + -3 = 13 8 + -10a = 13 + -5a Solving 8 + -10a = 13 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 8 + -10a + 5a = 13 + -5a + 5a Combine like terms: -10a + 5a = -5a 8 + -5a = 13 + -5a + 5a Combine like terms: -5a + 5a = 0 8 + -5a = 13 + 0 8 + -5a = 13 Add '-8' to each side of the equation. 8 + -8 + -5a = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -5a = 13 + -8 -5a = 13 + -8 Combine like terms: 13 + -8 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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