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Simplifying a + -6 = 8 + -1(10 + a) Reorder the terms: -6 + a = 8 + -1(10 + a) -6 + a = 8 + (10 * -1 + a * -1) -6 + a = 8 + (-10 + -1a) Combine like terms: 8 + -10 = -2 -6 + a = -2 + -1a Solving -6 + a = -2 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -6 + a + a = -2 + -1a + a Combine like terms: a + a = 2a -6 + 2a = -2 + -1a + a Combine like terms: -1a + a = 0 -6 + 2a = -2 + 0 -6 + 2a = -2 Add '6' to each side of the equation. -6 + 6 + 2a = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = -2 + 6 2a = -2 + 6 Combine like terms: -2 + 6 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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