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Simplifying 10 + -5a = 2 + -8(a + -1) Reorder the terms: 10 + -5a = 2 + -8(-1 + a) 10 + -5a = 2 + (-1 * -8 + a * -8) 10 + -5a = 2 + (8 + -8a) Combine like terms: 2 + 8 = 10 10 + -5a = 10 + -8a Add '-10' to each side of the equation. 10 + -10 + -5a = 10 + -10 + -8a Combine like terms: 10 + -10 = 0 0 + -5a = 10 + -10 + -8a -5a = 10 + -10 + -8a Combine like terms: 10 + -10 = 0 -5a = 0 + -8a -5a = -8a Solving -5a = -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -5a + 8a = -8a + 8a Combine like terms: -5a + 8a = 3a 3a = -8a + 8a Combine like terms: -8a + 8a = 0 3a = 0 Divide each side by '3'. a = 0 Simplifying a = 0
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